1. Equations & Inequalities

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

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

Solve each equation in Exercises 41–60 by making an appropriate substitution. $x^{\frac{2}{5}}+x^{\frac{1}{5}}-6=0$

Choose and apply the best method to solve the given quadratic equation. 

$4x^2+16x+12=0$

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

Solve each equation. (2x-1)^2/3+2(2x-1)^1/3-3=0

Solve each equation. (2x+3)^2/3 + (2x+3)^1/3 - 6 = 0

Solve each equation. (x-3)^2/5=(4x)^1/5

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.) | 4x² - 23x - 6 | = 0

Solve each equation. √4x-x+3=0

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

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

Solve each equation in Exercises 47–64 by completing the square. $2x^2-7x+3=0$

Solve each equation. √(3√(2x+3)) = √(5x-6)

Solve each equation. √(x+2)=1-√(3x+7)