Solve: √(6x - 2) = √(2x + 3) - √(4x - 1).

Solve without squaring both sides: 5 - (2/x) = √(5 - 2/x).

Solve for x: $\sqrt[3]{x \sqrt{x}} = 9$

Exercises 141–143 will help you prepare for the material covered in the next section. If the width of a rectangle is represented by x and the length is represented by x + 200, write a simplified algebraic expression that models the rectangle's perimeter.

Solve for x: x^(5/6) + x^(2/3) - 2x^(1/2) = 0

Write a quadratic equation in general form whose solution set is {- 3, 5}.

Factor completely: $x^3+x^2-4x-4.$

Exercises 177–179 will help you prepare for the material covered in the next section. If $-8$ is substituted for x in the equation $5x^{\frac{2}{3}}+11x^{\frac{1}{3}}+2=0$, is the resulting statement true or false?