document.write( "Question 713196: How do I solve this: $\"sqrt%28x-5%29%2B7=x\"$ \n" ); document.write( "

Algebra.Com's Answer #438427 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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$\"sqrt%28x-5%29%2B7=x\"$
\n" ); document.write( "subtract 7 from both sides
\n" ); document.write( " $\"sqrt%28x-5%29+=+x+-+7\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "(x - 5) = (x - 7)^2
\n" ); document.write( "FOIL the right side (x-7)(x-7)
\n" ); document.write( "x - 5 = x^2 - 14x + 49
\n" ); document.write( "Arrange as a quadratic equation on the right
\n" ); document.write( "0 = x^2 - 14x - x + 49 + 5
\n" ); document.write( "x^2 - 15x + 54 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-6)(x-9) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 6
\n" ); document.write( "and
\n" ); document.write( "x = 9
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check both solutions in the original problem
\n" ); document.write( "Only one solution will work, determine which one \n" ); document.write( "

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