# How do you solve sqrt(5x+14)=9 algebraically and graphically?

Nov 5, 2017

x = 13.4 is our solution.

#### Explanation:

We have

$\sqrt{5 \cdot x + 14} = 9$

Step 1

Square both sides of the equation.

$\left(5 \cdot x + 14\right) = 81$

Step 2

$5 \cdot x = 67$

Step 3

$x = 13.4$

This is our required solution.

When we refer to the graph, we find that graph{sqrt(5*x + 14) = 9, has an intersection point (13.4, 9).