document.write( "Question 627206: solve x= sqrt (x-2) + 2 \n" ); document.write( "

Algebra.Com's Answer #394917 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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solve x = sqrt (x-2) + 2
\n" ); document.write( "subtract 2 from both sides
\n" ); document.write( "x - 2 = $\"sqrt%28x-2%29\"$
\n" ); document.write( "square both sides
\n" ); document.write( "(x-2)^2 = x - 2
\n" ); document.write( "FOIL (x-2)(x-2)
\n" ); document.write( "x^2 - 4x + 4 = x - 2
\n" ); document.write( "combine like terms on the left
\n" ); document.write( "x^2 - 4x - x + 4 - 2 = 0
\n" ); document.write( "x^2 - 3x + 2 = 0
\n" ); document.write( "Factor
\n" ); document.write( "(x-2)(x-1) = 0
\n" ); document.write( "two solutions
\n" ); document.write( "x = 2
\n" ); document.write( "x = 1
\n" ); document.write( ":
\n" ); document.write( "Check both solutions in the original equation
\n" ); document.write( "x = 1, you have square root of neg number,
\n" ); document.write( "therefore
\n" ); document.write( "x = 2 is the only real solution \n" ); document.write( "

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