document.write( "Question 180047: Solve the equation x -2 squareroot x = 8 \n" ); document.write( "

Algebra.Com's Answer #134926 by Mathtut(3670) $\"\"$ $\"About$

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$\"x-2sqrt%28x%29=8\"$
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\n" ); document.write( " $\"-2sqrt%28x%29=8-x\"$ subtracted x from both sides
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\n" ); document.write( " $\"4x=%288-x%29%5E2\"$ squared both sides
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\n" ); document.write( " $\"4x=64-16x%2Bx%5E2\"$
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\n" ); document.write( " $\"x%5E2-20x%2B64=0\"$
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\n" ); document.write( " $\"%28x-16%29%28x-4%29=0\"$
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\n" ); document.write( "x=4 and 16
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\n" ); document.write( "4 is an extraneous root which occurs at times when squaring, so we throw it out as a solution
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\n" ); document.write( "x=16 \n" ); document.write( "

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