1. Equations & Inequalities

Solve each equation in Exercises 41–60 by making an appropriate substitution.(x - 5)^2 - 4(x - 5) - 21 = 0

Solve each equation in Exercises 41–60 by making an appropriate substitution.x^(2/5) + x^(1/5) - 6 = 0

Solve each equation with rational exponents in Exercises 31–40. Check all proposed solutions.(x^2 - x - 4)^(3/4) - 2 = 6

Solve each equation in Exercises 41–60 by making an appropriate substitution.x^(-2) - x^(-1) - 6 = 0

Solve each equation in Exercises 41–60 by making an appropriate substitution.x - 13√x + 40 = 0

Solve each equation in Exercises 96–102 by the method of your choice. 2√(x-1) = x

Solve each radical equation in Exercises 11–30. Check all proposed solutions.√(2x + 19) - 8 = x

Solve each radical equation in Exercises 11–30. Check all proposed solutions.√(6x + 1) = x - 1

Solve each radical equation in Exercises 11–30. Check all proposed solutions.√(x + 3) = x - 3

Solve each radical equation in Exercises 88–89. √ (2x-3) + x = 3

Use the method described in Exercises 83–86, if applicable, and properties ofabsolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 canbe solved by inspection.) | x^2 + 5x + 5 | = 1

Use the method described in Exercises 83–86, if applicable, and properties ofabsolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 canbe solved by inspection.) | x^2 - 9 | = x + 3

Use the method described in Exercises 83–86, if applicable, and properties ofabsolute value to solve each equation or inequality. (Hint: Exercises 99 and 100 canbe solved by inspection.) | 4x^2 - 23x - 6 | = 0

Match each equation in Column I with the correct first step for solving it in Column II. (x+5)^2/3 - (x+5)^1/3 - 6 = 0

Solve each equation. See Examples 4–6. x - √(2x+3) = 0