# How do you solve 2sqrtx + 3 = 10?

Jul 24, 2015

You isolate $\sqrt{x}$ on one side, then square both sides of the equation.

#### Explanation:

The first thing you need to do in order to solve this equation is isolate $\sqrt{x}$ on one side of the equation.

To do this, first add $- 3$ to both sides of the equation

$2 \sqrt{x} + \cancel{3} - \cancel{3} = 10 - 3$

$2 \sqrt{x} = 7$

Next, divide both sides of the equation by $2$

$\frac{\cancel{2} \cdot \sqrt{x}}{\cancel{2}} = \frac{7}{2}$

$\sqrt{x} = \frac{7}{2}$

To get the value of $x$, square both sides

(sqrt(x))""^2 = (7/2)^2

$x = \textcolor{g r e e n}{\frac{49}{4}}$