# How do you solve #sqrt(4x - 3) = 2 + sqrt(2x - 5)#?

##### 1 Answer

Jun 5, 2016

#### Answer:

x=7

#### Explanation:

First let's fix the domain:

that's

Then let's square both parts:

let's put the irrational term on the right and the remaining terms on the left:

let's divide all terms by 2:

let's again square both parts:

whose solutions are x=2 and x=7

but only the second one belongs to the domain