Review question

# How do we solve $x + 3\sqrt{x} − 1/2 = 0$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R6215

## Question

1. Use the substitution $\sqrt{x} = y$ (where $y \geq 0$) to find the real root of the equation $x + 3\sqrt{x} − \tfrac{1}{2} = 0.$

2. Find all real roots of the following equations:

1. $x + 10\sqrt{x + 2} − 22 = 0$;

2. $x^2 − 4x + \sqrt{2x^2−8x−3} − 9 = 0$.