Question

√(x+2) + 4=x Show work

Answer 1

(x+2)^(1/2) = x-4
square both sides
x+2 = x^2 -8x + 16
x^2 -9x + 14 = 0
therefore on solving
x = 2 or, 7

Answer 2

Careful !!! All answers to radical equations MUST BE CHECKED.
x=7 checks OK because
(7+2)^(1/2) + 4 =7
9^(1/2)+4=7
3+4=7
7=7 YES
But x=2 must be REJECTED because it does not check.
(2+2)^(1/2)+4=2
4^(1/2)+4=2
2+4=2
6=2 No Way! Reject x=2
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