# How do you solve sqrt(4+7x) = sqrt(7x-9) ?

Mar 5, 2017

#### Answer:

There is no value of $x$ satisfying this equation.

#### Explanation:

Given:

$\sqrt{4 + 7 x} = \sqrt{7 x - 9}$

Square both sides to get:

$4 + 7 x = 7 x - 9$

Subtract $7 x$ from both sides to get:

$4 = - 9$

...which is false.

So there is no value of $x$ which will make the equation hold.