SOLUTION: Find all the solutions to the equation x+√x-2 =4

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Question 1095681: Find all the solutions to the equation x+√x-2 =4
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Guessing you mean x%2Bsqrt%28x-2%29=4,

sqrt%28x-2%29=4-x
x-2=4%5E2-8x%2Bx%5E2
x%5E2-8x%2B16-x%2B2=0
x%5E2-9x%2B18=0
%28x-3%29%28x-6%29=0

Find if either or both x=3 or x=6 will work.
3%2Bsqrt%283-2%29=3%2B1=4, x=3 good;
6%2Bsqrt%286-2%29=6%2Bsqrt%284%29=6%2B2=8, x=6 not good;
highlight%28x=3%29