Ralph S.
asked • 02/15/17can i have this one with steps please? I know the answer is -2 but im not sure
√x+6 + √2-x=0
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1 Expert Answer
Don L. answered • 02/15/17
Tutor
5
(18)
Fifteen years teaching and tutoring basic math skills and algebra
Hi Ralph, I believe this is what you meant: √(x + 6) + √(2 - x) = 0. If this is correct the way to solve this problem is to move one of the factors to the other side of the equal sign and then square both factors.
Solution:
√(x + 6) + √(2 - x) = 0
√(x + 6) = -√(2 - x)
(√(x + 6))2 = (-√(2 - x))2
x + 6 = 2 - x
From here you can solve for x.
Questions?
Michael J.
The original equation does not have any valid solutions, if it is interpreted as Don has shown.
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02/16/17
Andrew M.
Translate as shown by Don, the answer is x = -2
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02/16/17
Mark M.
tutor
But, -2 does not satisfy the given equation. So, there is no solution.
Note: The left side of the given equation is positive unless √(x+6) and √(2-x) are both equal to 0. Since they can't both be zero simultaneously, the equation as stated has no solution.
Mark M (Bayport, NY)
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02/16/17
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Michael J.
02/16/17