In 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 = 0

In 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 = x^2 - 4x - 5

In 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 = - (x + 1)^2 + 4

In Exercises 115–122, find all values of x satisfying the given conditions.y = 2x^2 - 3x and y = 2

In Exercises 115–122, find all values of x satisfying the given conditions.y = 5x^2 + 3x and y = 2

In Exercises 115–122, find all values of x satisfying the given conditions.y1 = - x^2 + 4x - 2, y2 = - 3x^2 + x - 1, and y1 - y2 = 0

When the sum of 6 and twice a positive number is subtracted from the square of the number, 0 results. Find the number.

When the sum of 1 and twice a negative number is subtracted from twice the square of the number, 0 results. Find the number.

Write a quadratic equation in general form whose solution set is {- 3, 5}.