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 it287views
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 110.550views1rank
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0222views
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)229views
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.224views
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.201views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25236views
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.244views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3(x - 4)^2 = 15259views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16219views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = 121218views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400303views
Textbook QuestionSolve each equation using the square root property. See Example 2. (x - 4)^2 = -5209views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27237views
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 + 12x203views
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=96236views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10258views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5284views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7248views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 2x = 2399views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6172views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0258views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5216views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11210views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0246views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 4x^2 - 4x - 1 = 0367views
Textbook QuestionSolve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3278views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0370views
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+ 20x389views
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0317views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t239views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7196views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 - 6x + 10 = 0281views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)272views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 4x - 5 = 0540views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0273views
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2172views
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 = 0240views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x251views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 = 60229views
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, 5490views
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, 2391views1rank
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0228views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 4x^2 - 16 = 0220views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0232views
Textbook QuestionExercises 100–102 will help you prepare for the material covered in the next section. Factor: x^2 - 6x + 9219views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4226views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x^2 - 9)223views
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)225views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = x - 1, y2 = x + 4 and y1y2 = 14288views
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 = 0382views
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)244views
Textbook QuestionIf a number is decreased by 3, the principal square root of this difference is 5 less than the number. Find the number(s).96views
Textbook QuestionIf 5 times a number is decreased by 4, the principal square root of this difference is 2 less than the number. Find the number(s).234views
Textbook QuestionIn Exercises 91–100, find all values of x satisfying the given conditions. y1 = 6(2x/(x - 3))^2, y2 = 5(2x/(x - 3)), and y1 exceeds y2 by 689views
Textbook QuestionIn Exercises 91–100, find all values of x satisfying the given conditions. y = x - √(x - 2) and y = 470views
Textbook QuestionThe rule for rewriting an absolute value equation without absolute value bars can be extended to equations with two sets of absolute value bars: If u and v represent algebraic expressions, then |u| = |v| is equivalent to u = v or u = - v. Use this to solve the equations in Exercises 77–84. |x^2 - 6| = |5x|197views
Textbook QuestionSolve each radical equation in Exercises 11–30. Check all proposed solutions. √(2x + 3) + √(x - 2) = 2106views
Textbook QuestionSolve each equation in Exercises 41–60 by making an appropriate substitution. 9x^4 = 25x^2 - 1684views
Textbook QuestionSolve each polynomial equation in Exercises 1–10 by factoring and then using the zero-product principle. 3x^4 = 81x135views
Textbook QuestionUse the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | 3x^2 - 14x | = 548views
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 3x2+4x+1=03x^2+4x+1=03x2+4x+1=0348views1comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 2x2−3x=−32x^2-3x=-32x2−3x=−3287views
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=0272views2rank
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=0255views