Question 203341: √x+6 - 2 - x = 0
Answer by RAY100(1637)   (Show Source):
You can put this solution on YOUR website! sqrt(x+6) -2-x=0,,,,,,assume this is problem,,,,please check
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sqrt(x+6) = x+2
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square both sides
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(x+6) = (x+2)(x+2)= x^2 +4x +4
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0= x^2 +3x -2
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Using quadratic formula,,,a=1,,b=3,,,c=(-2)
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x= [ -3 +/- sqrt{ 3^2 -4*1*-2} ] / (2*1)
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x= [ -3+/- sqrt17]/2
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x=.562,,,-3.562
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checking (x=.562),,,sqrt(.562+6) -(2) -(.562) =0,,,ok
(x=-3.562),,,sqrt(-3.562+6) -2 -(-3.562)=3.123 not=0,,,,,not ok
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Therefore,,,x=.562
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