SOLUTION: (5-x)^1/2 = x + 1 ... solve (3x + 2)^1/2 - (2x + 7 ) 1/2 = 0 ... solve thank you!!!!

Algebra ->  Rational-functions -> SOLUTION: (5-x)^1/2 = x + 1 ... solve (3x + 2)^1/2 - (2x + 7 ) 1/2 = 0 ... solve thank you!!!!      Log On


   



Question 310488: (5-x)^1/2 = x + 1 ... solve
(3x + 2)^1/2 - (2x + 7 ) 1/2 = 0 ... solve
thank you!!!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(5-x)^1/2 = x + 1
Square both sides to get:
5-x = x^2+2x+1
x^2 + 3x - 4 = 0
Factor:
(x+4)(x-1) = 0
x = -4 or x = 1
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Note: x cannot = -4
Only solution: x = 1
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(3x + 2)^1/2 - (2x + 7 )^ 1/2 = 0
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(3x+2)^(1/2) = (2x+7)^(1/2)
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Square both sides:
3x+2 = 2x+7
x = 5
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Cheers,
Stan H.
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