Guided course 06:36Solving Quadratic Equations Using The Quadratic FormulaCallie783views12rank2comments
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 3x2+4x+1=03x^2+4x+1=03x2+4x+1=0243views1commentsHas a video solution.
Multiple ChoiceSolve the given quadratic equation using the quadratic formula. 2x2−3x=−32x^2-3x=-32x2−3x=−3198viewsHas a video solution.
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=0188views2rankHas a video solution.
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=0191views1rankHas a video solution.
Textbook QuestionMatch the equation in Column I with its solution(s) in Column II. x^2 = 25193viewsHas a video solution.
Textbook QuestionMatch the equation in Column I with its solution(s) in Column II. x^2 = -25145viewsHas a video solution.
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 it221viewsHas a video solution.
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 110.436views1rankHas a video solution.
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 2x(x - 3) = 5x^2 - 7x231viewsHas a video solution.
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 5x + 6 = 0172viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 7 - 7x = (3x + 2)(x - 1)179viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)^2240viewsHas a video solution.
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.170viewsHas a video solution.
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.162viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 2)^2 = 25189viewsHas a video solution.
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.189viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. 3(x - 4)^2 = 15202viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16168viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = 121177viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. x^2 = -400228viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. (x - 4)^2 = -5149viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (2x + 8)^2 = 27195viewsHas a video solution.
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 + 12x169viewsHas a video solution.
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=96172viewsHas a video solution.
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 2x^2 + x = 10208viewsHas a video solution.
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. 3x^2 + 2x = 5225viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 6x = 7204viewsHas a video solution.
Textbook QuestionSee Exercise 47. (b)Which equation has two nonreal complex solutions?132viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 2x = 2313viewsHas a video solution.
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. 8x² = -2x -6139viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 - 6x - 11 = 0215viewsHas a video solution.
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 = 2x - 5173viewsHas a video solution.
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. -4x^2 = -12x + 11161viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 2x^2 - 7x + 3 = 0203viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 4x^2 - 4x - 1 = 0311viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 60–63 by the square root property. x^2/2 + 5 = -3225viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 5x - 10 = 0285viewsHas a video solution.
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+ 20x316viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0258viewsHas a video solution.
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. s = (1/2)gt^2, for t163viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. 4x^2 = 2x + 7154viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 65–74 using the quadratic formula. x^2 - 6x + 10 = 0232viewsHas a video solution.
Textbook QuestionExercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)217viewsHas a video solution.
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. x^2 - 4x - 5 = 0422viewsHas a video solution.
Textbook QuestionIn Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. 2x^2 - 11x + 3 = 0227viewsHas a video solution.
Textbook QuestionFor each equation, (b) solve for y in terms of x. See Example 8. 2x^2 + 4xy - 3y^2 = 2137viewsHas a video solution.
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 = 0174viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 5x^2 + 2 = 11x204viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 3x^2 = 60184viewsHas a video solution.
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, 5334viewsHas a video solution.
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, 2329views1rankHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 9 - 6x + x^2 = 0179viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 4x^2 - 16 = 0184viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 4x + 29 = 0191viewsHas a video solution.
Textbook QuestionExercises 100–102 will help you prepare for the material covered in the next section. Factor: x^2 - 6x + 9178viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 3) = 1/4183viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x^2 - 9)184viewsHas a video solution.
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)181viewsHas a video solution.
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = x - 1, y2 = x + 4 and y1y2 = 14232viewsHas a video solution.
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 = 0303viewsHas a video solution.
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)201viewsHas a video solution.
Textbook QuestionWrite a quadratic equation in general form whose solution set is {- 3, 5}.575viewsHas a video solution.