How do you solve 8=10 (sqrt x) + 3?

Jul 18, 2015

Subtract $3$ from both sides, divide both sides by $10$, then square both sides to find:

$x = \frac{1}{4}$

Explanation:

Given $8 = 10 \left(\sqrt{x}\right) + 3$

Subtract $3$ from both sides to get:

$10 \sqrt{x} = 5$

Divide both side by $10$ to get:

$\sqrt{x} = \frac{1}{2}$

Square both sides to get:

$x = {\left(\frac{1}{2}\right)}^{2} = \frac{1}{4}$