1. Equations & Inequalities

Solve each equation in Exercises 83–108 by the method of your choice. $9-6x+x^2=0$

Solve each equation in Exercises 83–108 by the method of your choice. $4x^2-16=0$

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

Exercises 100–102 will help you prepare for the material covered in the next section. Factor: $x^2-6x+9$

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

Solve each equation in Exercises 83–108 by the method of your choice. 2x/(x - 3) + 6/(x + 3) = - 28/(x² - 9)

Solve each equation in Exercises 83–108 by the method of your choice. 3/(x - 3) + 5/(x - 4) = (x² - 20)/(x² - 7x + 12)

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

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: √(6x - 2) = √(2x + 3) - √(4x - 1).

If a number is decreased by 3, the principal square root of this difference is 5 less than the number. Find the number(s).

If 5 times a number is decreased by 4, the principal square root of this difference is 2 less than the number. Find the number(s).

In Exercises 101–106, solve each equation.$x(x+1{)}^3-42(x+1{)}^2=0$

In Exercises 101–106, solve each equation. $\mid x^2+2x-36\mid =12$