Question

√2x-1- x = 0
How do I solve this equation?

Answer 1

x = 1

Explanation:

Immediately, we will simplify like terms on the left side of the equation. This will give us:

`√(2x-x-1)` = 0

Simplifying gives us:

`√(x-1)` = 0

Now, an important thing to note, is that for the square root of a number to be 0, the number has to be 0. Therefore, x - 1 must equal 0. So, x = 1. Checking our work gives us:

`√(2x - x - 1)` = 0

`\\√(2 - 1 - 1)` = 0

`√(0)` = 0

It all checks out.

Hope this helped!