BackIn Exercises 109–114, find the x-intercept(s) of the graph of each equation. Use the x-intercepts to match the equation with its graph. The graphs are shown in [- 10, 10, 1] by [- 10, 10, 1] viewing rectangles and labeled (a) through (f). y = x2 - 4x - 5
Solve each equation by the method of your choice.
Find all values of x satisfying the given conditions. y1 = - x2 + 4x - 2, y2 = - 3x2 + x - 1, and y1 - y2 = 0
Find all values of x satisfying the given conditions. y = 5x2 + 3x and y = 2
Solve each equation by the method of your choice. 1/(x2 - 3x + 2) = 1/(x + 2) + 5/(x2 - 4)
Write a quadratic equation in general form whose solution set is {- 3, 5}.
Solve each equation in Exercises 83–108 by the method of your choice. (2x + 3)(x + 4) = 1
Solve the given quadratic equation by factoring.
In 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. x2 + 3x
Find all values of x satisfying the given conditions. y1 = 2x2 + 5x - 4, y2 = - x2 + 15x - 10, and y1 - y2 = 0
Solve each equation in Exercises 15–34 by the square root property. (x + 2)2 = 25
Exercises 73–75 will help you prepare for the material covered in the next section. Multiply: (7 - 3x)(- 2 - 5x)
Find all values of x satisfying the given conditions. y1 = 2x/(x + 2), y2 = 3/(x + 4), and y1 + y2 = 1
In 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.
Solve each equation in Exercises 47–64 by completing the square.