<PRE><B>Question 102153</B>
(X + 4)^(1/2) = X-6 
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Square both sides to get:
x+4 = x^2-12x+36
Rearrange:
x^2-13x+32 = 0
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x = [13 +- sqrt(169-4*32)] / 2

x = [13 +- sqrt41]/2

x = 41.62 or x = 3.298
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Check these answers in the original equation:
x= 41.62 is a valid answer; x=3.298 is extraneous
because the right side of the equation would be 
negative.
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Cheers,
Stan H.</PRE>