document.write( "Question 482954: What is 4 more than the square root of 2x equals x? Please include all work. \n" ); document.write( "
Algebra.Com's Answer #330558 by ankor@dixie-net.com(22740)\"\" \"About 
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What is 4 more than the square root of 2x equals x?
\n" ); document.write( "\"sqrt%282x%29\" + 4 = x
\n" ); document.write( ":
\n" ); document.write( "subtract 4 from both sides
\n" ); document.write( "\"sqrt%282x%29\" = x - 4
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\n" ); document.write( "square both sides
\n" ); document.write( "2x = (x-4)^2
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\n" ); document.write( "FOIL (x-4(x-4)
\n" ); document.write( "2x = x^2 - 8x + 16
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\n" ); document.write( "Subtract 2x from both sides
\n" ); document.write( "0 = x^2 - 8x - 2x + 16
\n" ); document.write( ":
\n" ); document.write( "A quadratic equation
\n" ); document.write( "x^2 - 10x + 16 = 0
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\n" ); document.write( "Factor to
\n" ); document.write( "(x-8)(x-2) = 0
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\n" ); document.write( "Two solutions
\n" ); document.write( "x = 8
\n" ); document.write( "x = 2
\n" ); document.write( ":
\n" ); document.write( "Check both solutions in original equation
\n" ); document.write( "x=8
\n" ); document.write( "\"sqrt%282%288%29%29\" + 4 = 8
\n" ); document.write( "\"sqrt%2816%29\" + 4 = 8; a good solution
\n" ); document.write( "and
\n" ); document.write( "x=2
\n" ); document.write( "\"sqrt%282%282%29%29\" + 4 = 2
\n" ); document.write( "\"sqrt%284%29\" + 4 = 2
\n" ); document.write( "2 + 4 does not = 2, therefore not a good solutions
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