127k views
3 votes
√2x-1- x = 0
How do I solve this equation?

User Harikrish
by
7.4k points

1 Answer

4 votes

Answer:

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!

User Greendrake
by
8.2k points

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