Guided course 06:12Solving Quadratic Equations by the Square Root PropertyCallie727views10rank1comments
Multiple ChoiceSolve the given quadratic equation using the square root property. (x−12)2−5=0\left(x-\frac12\right)^2-5=0(x−21)2−5=0219viewsHas a video solution.
Multiple ChoiceSolve the given quadratic equation using the square root property. 2x2−16=02x^2-16=02x2−16=0206views5rankHas a video solution.
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. x^2 - 3x - 10 = 0176viewsHas a video solution.
Textbook QuestionMatch the equation in Column I with its solution(s) in Column II. x^2 + 5 = 0191viewsHas 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 square root property? Solve it265viewsHas 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. Find two consecutive odd integers whose product is 63.179viewsHas a video solution.
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 + 2x - 8 = 0335viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 1 - 14 by factoring. 10x - 1 = (2x + 1)^2239viewsHas 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 odd integers is 32. Find the integers.208viewsHas a video solution.
Textbook QuestionSolve each equation using the zero-factor property. See Example 1. x^2 - 64 = 0197viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 15–34 by the square root property. (x + 3)^2 = - 16167viewsHas a video solution.
Textbook QuestionVolume of a Box. A rectangular piece of metal is 10 in. longer than it is wide. Squares with sides 2 in. long are cut from the four corners, and the flaps are folded upward to form an open box. If the volume of the box is 832 in.^3, what were the original dimensions of the piece of metal?225viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. 27 - x^2 = 0212viewsHas a video solution.
Textbook QuestionDimensions of a SquareWhat is the length of the side of a square if its area and perimeter are numerically equal?177viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. (4x + 1)^2 = 20337viewsHas a video solution.
Textbook QuestionSolve each equation using the square root property. See Example 2. (-2x + 5)^2 = -8159viewsHas 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 - 10x456viewsHas a video solution.
Textbook QuestionSolve each equation using completing the square. See Examples 3 and 4. -2x^2 + 4x + 3 = 0229viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. x^2 + 4x = 12224viewsHas a video solution.
Textbook QuestionEvaluate the discriminant for each equation. Then use it to determine the number and type of solutions. -8x² + 10x = 7144viewsHas a video solution.
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. x^2 - 3x - 2 = 0276viewsHas a video solution.
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. 1/2x^2 + 1/4x - 3 = 0244viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 47–64 by completing the square. 3x^2 - 2x - 2 = 0315viewsHas a video solution.
Textbook QuestionSolve each equation using the quadratic formula. See Examples 5 and 6. (3x + 2)(x - 1) = 3x219viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 66–67 by completing the square. 3x^2 -12x+11= 0257viewsHas a video solution.
Textbook QuestionSolve each equation for the specified variable. (Assume no denominators are 0.) See Example 8. F = kMv^2/r , for v163viewsHas 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 = 0414viewsHas a video solution.
Textbook QuestionFor each equation, (a) solve for x in terms of y.. See Example 8. 4x^2 - 2xy + 3y^2 = 2165viewsHas 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. x^2 - 8x + 16 = 0279viewsHas 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. 9x^2 + 11x + 4 = 0329viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 2x = 1201viewsHas 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.) i, -i304viewsHas a video solution.
Textbook QuestionSolve each equation in Exercises 83–108 by the method of your choice. x^2 - 6x + 13 = 0261viewsHas 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)180viewsHas a video solution.
Textbook QuestionIn Exercises 115–122, find all values of x satisfying the given conditions. y1 = 2x/(x + 2), y2 = 3/(x + 4), and y1 + y2 = 1216viewsHas a video solution.
Textbook QuestionIn Exercises 123–124, list all numbers that must be excluded from the domain of each rational expression. 3/(2x^2 + 4x - 9)249viewsHas a video solution.
Textbook QuestionIn Exercises 127–130, solve each equation by the method of your choice. √2 x^2 + 3x - 2√2 = 0226viewsHas a video solution.