# How do you solve (x^2 - 7)/(x - 4) = 0?

Apr 8, 2016

$x = \sqrt{7}$

#### Explanation:

color(blue)((x^2-7)/(x-4)=0

Multiply both sides by $x - 4$

$\rightarrow \frac{{x}^{2} - 7}{\cancel{x - 4}} \cdot \cancel{x - 4} = 0 \cdot x - 4$

$\rightarrow {x}^{2} - 7 = 0$

Add $7$ both sides

$\rightarrow {x}^{2} - 7 + 7 = 0 + 7$

$\rightarrow {x}^{2} = 7$

Take the square root of both sides

$\rightarrow \sqrt{{x}^{2}} = \sqrt{7}$

color(green)(rArrx=sqrt7