Multiple ChoiceWrite the given quadratic equation in standard form. Identify a, b, and c. −4x2+x=8-4x^2+x=8−4x2+x=8288views5rank
Multiple ChoiceSolve the given quadratic equation by factoring. 3x2+12x=03x^2+12x=03x2+12x=0229views4rank2comments
Multiple ChoiceSolve the given equation by factoring. 2x2+7x+6=02x^2+7x+6=02x2+7x+6=0204views1comments
Textbook QuestionMatch the equation in Column I with its solution(s) in Column II. x^2 - 5 = 0182views
Textbook QuestionUse Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Which equation is set up for direct use of the zero-factor property? Solve it252views
Textbook QuestionAnswer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive integers whose product is 110.492views1rank
Textbook QuestionAnswer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. Find two consecutive even integers whose product is 168.184views
Textbook QuestionUse Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Only one of the equations does not require Step 1 of the method for completing the square described in this section. Which one is it? Solve it.194views
Textbook QuestionUse Choices A–D to answer each question. A. 3x^2 - 17x - 6 = 0 B. (2x + 5)^2 = 7 C. x^2 + x = 12 D. (3x - 1)(x - 7) = 0 Only one of the equations is set up so that the values of a, b, and c can be determined immediately. Which one is it? Solve it.172views
Textbook QuestionAnswer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The sum of the squares of two consecutive odd integers is 202. Find the integers205views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3x^2 = 27344views
Textbook QuestionAnswer each question. Answer each question. Answer each question. Unknown NumbersUse the following facts.If x represents an integer, then x+1 represents the next consecutive integer.If x represents an even integer, then x+2 represents the next consecutive even integer.If x represents an odd integer, then x+2 represents the next consecutive odd integer. The sum of the squares of two consecutive even integers is 52. Find the integers.196views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 5x^2 = 45305views
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. 2x^2 - x = 15221views
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. -6x^2 + 7x = -10225views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3x^2 - 1 = 47423views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 2x^2 - 5 = - 55220views
Textbook QuestionSolve each problem. See Examples 1 and 2. Dimensions of a Square. The length of each side of a square is 3 in. more than the length of each side of a smaller square. The sum of the areas of the squares is 149 in.2. Find the lengths of the sides of the two squares.403views
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. 9x^2 - 12x + 4 = 0305views
Textbook QuestionSolve each problem. See Examples 1. Dimensions of a Parking Lot. A parking lot has a rectangular area of 40,000 yd2. The length is 200 yd more than twice the width. Find the dimensions of the lot.211views
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. 36x^2 + 60x + 25 = 0175views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x - 3)^2 = - 5304views
Textbook QuestionSolve each equation using the square root property. See Example 2. 48 - x^2 = 0290views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (3x + 2)^2 = 9178views
Textbook QuestionManufacturing to Specifications. A manufacturing firm wants to package its product in a cylindrical container 3 ft high with surface area 8π ft2. What should the radius of the circular top and bottom of the container be? (Hint: The surface area consists of the circular top and bottom and a rectangle that represents the side cut open vertically and unrolled.)207views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400266views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (4x - 1)^2 = 16211views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (8x - 3)^2 = 5200views
Textbook QuestionRadius of a CanA can of Blue Runner Red Kidney Beans has surface area 371 cm^2. Its height is 12 cm. What is the radius of the circular top? Round to the nearest hun-dredth.264views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. x^2 - 7x + 12 = 0173views
Textbook QuestionIn Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2 + 3x455views
Textbook QuestionSolve each problem. See Example 2. Length of a WalkwayA nature conservancy group decides to construct a raised wooden walkway through a wetland area. To enclose the most interesting part of the wetlands, the walkway will have the shape of a right triangle with one leg 700 yd longer than the other and the hypotenuse 100 yd longer than the longer leg. Find the total length of the walkway.263views
Textbook QuestionIn Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2 - 7x328views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. x^2 - 2x - 2 = 0412views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10230views
Textbook QuestionIn Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2 - (2/3)x347views
Textbook QuestionIn Exercises 35–46, determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. x^2 - (1/3)x345views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. -3x^2 + 6x + 5 = 0200views
Textbook QuestionWhich equation has two real, distinct solutions? Do not actually solve. A. (3x-4)² = -9 B. (4-7x)² = 0 C. (5x-9)(5x-9) = 0 D. (7x+4)² = 11211views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 - 9x + 7 = 0355views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 - x - 1 = 0214views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0236views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 16x² +3 = -26x153views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 4x + 1 = 0263views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 - 6x = -7219views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5194views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 5x + 6 = 0213views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 3x - 1 = 0196views
Textbook QuestionSolve each problem. Dimensions of a Right TriangleThe shortest side of a right triangle is 7 in. shorter than the middle side, while the longest side (the hypot-enuse) is 1 in. longer than the middle side. Find the lengths of the sides.164views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. 2/3x^2 + 1/4x = 3264views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. (4x - 1)(x + 2) = 4x328views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0334views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 + 8x + 15 = 0241views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 + 5x + 3 = 0663views
Textbook QuestionSolve each cubic equation using factoring and the quadratic formula. See Example 7. x^3 - 27 = 0499views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 3x^2 - 3x - 4 = 0279views
Textbook QuestionSolve each cubic equation using factoring and the quadratic formula. See Example 7. x^3 + 64 = 0291views
Textbook QuestionSolve each equation in Exercises 68–70 using the quadratic formula. 2x^2 = 3-4x289views
Textbook QuestionIn Exercises 71–72, without solving the given quadratic equation, determine the number and type of solutions. 9x^2 = 2-3x343views
Textbook QuestionSolve each equation in Exercises 73–81 by the method of your choice. 3x^2-7x+1 =0215views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. r = r_0+(1/2)at^2, for t198views
Textbook QuestionSolve each equation in Exercises 73–81 by the method of your choice. (x-3)^2 - 25 = 0273views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. h = -16t^2+v_0t+s_0, for t185views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0249views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 2x + 1 = 0221views
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 4x^2 - 2xy + 3y^2 = 2339views
Textbook QuestionFor each equation, (a) solve for x in terms of y. See Example 8. 2x^2 + 4xy - 3y^2 = 2177views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 3x - 7 = 0336views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x^2 - x = 1245views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9. 3x^2 + 5x + 2 = 0195views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9. 4x^2 = -6x + 3334views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number of distinct solutions, and tell whether they are rational, irrational, or nonreal complex numbers. (Do not solve the equation.) See Example 9. 8x^2 - 72 = 0247views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. (2x + 3)(x + 4) = 1289views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. (2x - 5)(x + 1) = 2209views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. (3x - 4)^2 = 16195views
Textbook QuestionAnswer each question. Find the values of a, b, and c for which the quadratic equation. ax^2 + bx + c = 0 has the given numbers as solutions. (Hint: Use the zero-factor property in reverse.) 4, 5417views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 - 12x + 12 = 0264views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0212views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 = 4x - 7209views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x^2 - 7x = 0196views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 2) = 1/3233views
Textbook QuestionIn Exercises 109–114, find the x-intercept(s) of the graph of each equation. Use the x-intercepts to match the equation with its graph. The graphs are shown in [- 10, 10, 1] by [- 10, 10, 1] viewing rectangles and labeled (a) through (f). y = x^2 - 4x - 5218views
Textbook QuestionIn Exercises 109–114, find the x-intercept(s) of the graph of each equation. Use the x-intercepts to match the equation with its graph. The graphs are shown in [- 10, 10, 1] by [- 10, 10, 1] viewing rectangles and labeled (a) through (f). y = - (x + 1)^2 + 4346views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y = 2x^2 - 3x and y = 2325views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y = 5x^2 + 3x and y = 2234views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = 2x^2 + 5x - 4, y2 = - x^2 + 15x - 10, and y1 - y2 = 0340views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = - x^2 + 4x - 2, y2 = - 3x^2 + x - 1, and y1 - y2 = 0307views
Textbook QuestionWhen the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.263views
Textbook QuestionWhen the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.222views