1. Equations & Inequalities

Solve each equation by the method of your choice. $(x-3{)}^2-25=0$

In Exercises 75–82, compute the discriminant. Then determine the number and type of solutions for the given equation. $2x^2-11x+3=0$

Compute the discriminant. Then determine the number and type of solutions for the given equation. x² - 2x + 1 = 0

Compute the discriminant. Then determine the number and type of solutions for the given equation. x² - 3x - 7 = 0

Solve each equation in Exercises 83–108 by the method of your choice. 2x² - x = 1

Solve each equation in Exercises 83–108 by the method of your choice. (2x + 3)(x + 4) = 1

Solve each equation in Exercises 83–108 by the method of your choice. (2x - 5)(x + 1) = 2

Solve each equation in Exercises 83–108 by the method of your choice. (3x - 4)² = 16

Solve each equation in Exercises 83–108 by the method of your choice. $3x^2-12x+12=0$

Solve by completing the square: 2x² – 5x + 1 = 0.

Solve each equation in Exercises 83–108 by the method of your choice. x² - 4x + 29 = 0

Solve each equation in Exercises 83–108 by the method of your choice. $x^2=4x-7$

Solve each equation in Exercises 83–108 by the method of your choice. $2x^2-7x=0$

Solve each equation in Exercises 83–108 by the method of your choice. 1/x + 1/(x + 2) = 1/3

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 = x² - 4x - 5