SOLUTION: How do you solve the equation:
square root of(5-x)=x-3
Algebra.Com
Question 219959: How do you solve the equation:
square root of(5-x)=x-3
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve the equation:
square root of(5-x)=x-3
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sqrt(5-x) = x-3
Square both sides to get:
5-x = x^2-6x+9
x^2-5x+4 = 0
Factor:
(x-4)(x-1) = 0
x = 4 or x = 1
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Check in the original equation:
If x=4 you get: sqrt(1) = 4-3 which is correct.
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If x=1 you get sqrt(4) = 1-3 which is not correct.
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Solution: x = 4
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Cheers,
Stan H.
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