# How do you solve #7+sqrt(8-x)=12# algebraically and graphically?

##### 2 Answers

Jul 3, 2018

The solution is

#### Explanation:

The equation is

Squaring both sides

Graphically, plot the curve

graph{sqrt(8-x)-5 [-30.25, 10.3, -8.68, 11.58]}

And the solution to the equation is the point where the curve intercepts with the x-axis, that is

Jul 3, 2018

I tried this:

#### Explanation:

1) Algebraically:

rearrange:

square both:

2) Graphically:

graph{(y-7-sqrt(8-x))(y-12)=0 [-50.02, 14.96, -3.34, 29.11]}