Guided course 06:36Solving Quadratic Equations Using The Quadratic FormulaCallie835views12rank2comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 3x2+4x+1=03x^2+4x+1=03x2+4x+1=0249views1comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 2x2−3x=−32x^2-3x=-32x2−3x=−3201views
Multiple ChoiceDetermine the number and type of solutions of the given quadratic equation. Do not solve. x2+8x+16=0x^2+8x+16=0x2+8x+16=0191views2rank
Multiple ChoiceDetermine the number and type of solutions of the given quadratic equation. Do not solve. −4x2+4x+5=0-4x^2+4x+5=0−4x2+4x+5=0197views1rank
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 it225views
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 110.447views1rank
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0175views
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)184views
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.177views
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 difference of the squares of two positive consecutive even integers is 84. Find the integers.165views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25192views
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.193views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3(x - 4)^2 = 15208views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16175views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = 121179views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400236views
Textbook QuestionSolve each equation using the square root property. See Example 2. (x - 4)^2 = -5152views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27198views
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 + 12x172views
Textbook Question(Modeling)Solve each problem. See Example 3.Height of a ProjectileA projectile is launched from ground level with an initial velocity of v_0 feet per second. Neglecting air resistance, its height in feet t seconds after launch is given by s=-16t^2+v_0t. In each exercise, find the time(s) that the projectile will (a) reach a height of 80 ft and (b) return to the ground for the given value of v_0. Round answers to the nearest hun-dredth if necessary. v_0=96175views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10212views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5229views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7207views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 2x = 2320views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6142views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0218views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5177views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11166views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0206views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 4x^2 - 4x - 1 = 0320views
Textbook QuestionSolve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3230views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0295views
Textbook QuestionIn Exercises 64–65, 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+ 20x322views
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0261views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t169views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7157views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 - 6x + 10 = 0236views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)219views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 4x - 5 = 0435views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0230views
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2139views
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 = 0177views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x206views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 = 60189views
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, 5351views
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.) -3, 2334views1rank
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0181views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 4x^2 - 16 = 0187views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0194views
Textbook QuestionExercises 100–102 will help you prepare for the material covered in the next section. Factor: x^2 - 6x + 9180views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4187views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x^2 - 9)186views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3/(x - 3) + 5/(x - 4) = (x^2 - 20)/(x^2 - 7x + 12)183views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = x - 1, y2 = x + 4 and y1y2 = 14238views
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 = 0311views
Textbook QuestionIn Exercises 127–130, solve each equation by the method of your choice. 1/(x^2 - 3x + 2) = 1/(x + 2) + 5/(x^2 - 4)203views