Guided course 06:36Solving Quadratic Equations Using The Quadratic FormulaCallie1013views13rank2comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 3x2+4x+1=03x^2+4x+1=03x2+4x+1=0292views1comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 2x2−3x=−32x^2-3x=-32x2−3x=−3235views
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=0216views2rank
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=0218views
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 it250views
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 110.487views1rank
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0191views
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)202views
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.194views
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.177views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25207views
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.208views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3(x - 4)^2 = 15229views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16192views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = 121187views
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400262views
Textbook QuestionSolve each equation using the square root property. See Example 2. (x - 4)^2 = -5174views
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27211views
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 + 12x180views
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=96210views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10229views
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5247views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7226views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 2x = 2352views
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6150views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0234views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5192views
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11185views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0221views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 4x^2 - 4x - 1 = 0340views
Textbook QuestionSolve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3251views
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0332views
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+ 20x349views
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0282views
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t197views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7164views
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 - 6x + 10 = 0257views
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)237views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 4x - 5 = 0485views
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0247views
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2152views
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 = 0193views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x229views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 = 60209views
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, 5412views
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, 2359views1rank
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0199views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 4x^2 - 16 = 0196views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0210views
Textbook QuestionExercises 100–102 will help you prepare for the material covered in the next section. Factor: x^2 - 6x + 9191views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4203views
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x^2 - 9)198views
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)200views
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = x - 1, y2 = x + 4 and y1y2 = 14255views
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 = 0338views
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)220views