document.write( "Question 167450: A student is asked to solve the equation
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\n" ); document.write( "x^2 +x - 6 = 5\r
\n" ); document.write( "\n" ); document.write( "The student gives the following steps:
\n" ); document.write( "(x - 2)(x + 3) = 5
\n" ); document.write( "(x - 2) = 5 (x + 3) = 5
\n" ); document.write( "x = 7 x = 2\r
\n" ); document.write( "\n" ); document.write( "Explain whether or not this is correct, and make any necessary corrections.\r
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Algebra.Com's Answer #123349 by checkley77(12844)\"\" \"About 
You can put this solution on YOUR website!
The approach is WRONG.
\n" ); document.write( "Proof:
\n" ); document.write( "7^2+7-6=5
\n" ); document.write( "49+7-6=5
\n" ); document.write( "50=5 is an invalid proof.
\n" ); document.write( "2^2+2-6=5
\n" ); document.write( "4+2-6=5
\n" ); document.write( "0=5 is another invalid proof.
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\n" ); document.write( "The proper solution follows:
\n" ); document.write( "x^2+x-6=5
\n" ); document.write( "x^2+x-6-5=0
\n" ); document.write( "x^2+x-11=0
\n" ); document.write( "\"x=%28-b%2B-sqrt%28b%5E2-4%2Aa%2Ac%29%29%2F%282%2Aa%29\"
\n" ); document.write( "x=(-1+-sqrt[1^2-4*1*-11)/2*1
\n" ); document.write( "x=(-1+-sqrt[1+44])/2
\n" ); document.write( "x=(-1+-sqrt45)/2
\n" ); document.write( "x=(-1+-6.7082)/2
\n" ); document.write( "x=(-1+6.7082)/2
\n" ); document.write( "x=5.7082/2
\n" ); document.write( "x=2.8541 answer.
\n" ); document.write( "x=(-1-6.7082)/2
\n" ); document.write( "x=-7.7082/2
\n" ); document.write( "x=-3.8541 answer.
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