Guided course 06:36Solving Quadratic Equations Using The Quadratic FormulaCallie1004views13rank2comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 3x2+4x+1=03x^2+4x+1=03x2+4x+1=0287views1comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 2x2−3x=−32x^2-3x=-32x2−3x=−3233views
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=0213views2rank
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=0216views
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 it246views
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 110.480views1rank
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0185views
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)200views
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.191views
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.176views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25203views
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.205views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3(x - 4)^2 = 15225views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16189views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = 121186views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400259views
Textbook QuestionSolve each equation using the square root property. See Example 2. (x - 4)^2 = -5169views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27209views
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 + 12x177views
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=96206views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10226views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5245views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7223views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 2x = 2346views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6149views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0232views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5189views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11182views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0219views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 4x^2 - 4x - 1 = 0338views
Textbook QuestionSolve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3248views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0327views
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+ 20x342views
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0278views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t193views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7162views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 - 6x + 10 = 0253views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)235views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 4x - 5 = 0479views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0243views
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2149views
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 = 0190views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x223views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 = 60205views
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, 5404views
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, 2356views1rank
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0195views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 4x^2 - 16 = 0195views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0207views
Textbook QuestionExercises 100–102 will help you prepare for the material covered in the next section. Factor: x^2 - 6x + 9189views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4200views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x^2 - 9)196views
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)197views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = x - 1, y2 = x + 4 and y1y2 = 14253views
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 = 0334views
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)218views