# How do you solve #sqrt(2X+3)=sqrt(5X-6)#?

##### 1 Answer

Jul 19, 2015

#### Answer:

Square both sides and solve the resulting linear equation to find:

#### Explanation:

First square both sides of the equation to get:

Note that in general squaring both sides of an equation may result in spurious solutions, so we will check later. (Alternatively, we could note at this stage that both sides of the equation are

Next add

Subtract

Divide both sides by

Now check:

If

then

and