SOLUTION: Solve for x: x= radical 2x-7+5 I have worked the problem (x-5)^2 =2x-7 x=8 and x=4 But I don't know how to do the check, can you help?

Question 115756: Solve for x: x= radical 2x-7+5
I have worked the problem
(x-5)^2 =2x-7
x=8 and x=4
But I don't know how to do the check, can you help?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation

Plug in the first solution x=8

Multiply

Subtract

Take the square root of 9 to get 3

Add. Since both sides of the equation are equal, x=8 is a valid solution

---------------------

Start with the given equation

Plug in the second solution x=4

Multiply

Subtract

Take the square root of 1 to get 1

Add. Since both sides of the equation are not equal, x=4 is a not valid solution

So the only solution is x=8
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