1. Equations & Inequalities

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. 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

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

Find all values of x satisfying the given conditions. y = 5x² + 3x and y = 2

Find all values of x satisfying the given conditions. y₁ = 2x² + 5x - 4, y₂ = - x² + 15x - 10, and y₁ - y₂ = 0

Find all values of x satisfying the given conditions. y₁ = - x² + 4x - 2, y₂ = - 3x² + 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.