document.write( "Question 417115: Solve for x: √(x+7)=x-5 \n" ); document.write( "

Algebra.Com's Answer #292074 by stanbon(75887) $\"\"$ $\"About$

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Solve for x: √(x+7)=x-5
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\n" ); document.write( "Square both sides:
\n" ); document.write( "x+7 = x^2-10x+25
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\n" ); document.write( "x^2-11x+18 = 0
\n" ); document.write( "x^2-9x-2x+18 = 0
\n" ); document.write( "x(x-9)-2(x-9) =0
\n" ); document.write( "(x-9)(x-2) = 0
\n" ); document.write( "x = 2 or x = 9
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\n" ); document.write( "Check those \"answers\":
\n" ); document.write( "Only x = 9 is acceptable.
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

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