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 = 2x/(x + 2), y₂ = 3/(x + 4), and y₁ + y₂ = 1

List all numbers that must be excluded from the domain of each rational expression. 3/(2x² + 4x - 9)

Solve each equation by the method of your choice. √2 x² + 3x - 2√2 = 0

Solve each polynomial equation in Exercises 86–87. 2x^4 = 50 x^2

Use the method described in Exercises 83–86, if applicable, and properties of absolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 can be solved by inspection.) | x² + 1 | - | 2x | = 0

Solve each equation. (x²+24x)^1/4 = 3

Solve each equation. (x-3)^2/5 = 4