SOLUTION: How do I solve this: {{{sqrt(x-5)+7=x}}}
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Question 713196: How do I solve this:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
subtract 7 from both sides
Square both sides
(x - 5) = (x - 7)^2
FOIL the right side (x-7)(x-7)
x - 5 = x^2 - 14x + 49
Arrange as a quadratic equation on the right
0 = x^2 - 14x - x + 49 + 5
x^2 - 15x + 54 = 0
Factors to
(x-6)(x-9) = 0
Two solutions
x = 6
and
x = 9
:
;
Check both solutions in the original problem
Only one solution will work, determine which one
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