document.write( "Question 526053: If half the difference between the square of a certain positive number and the number is 3 more than twice the number, what is the number \n" ); document.write( "
Algebra.Com's Answer #348483 by ankor@dixie-net.com(22740)\"\" \"About 
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If half the difference between the square of a certain positive number, and the number, is 3 more than twice the number, what is the number
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\n" ); document.write( "\"1%2F2\"(x^2 - x) = 2x + 3
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( "x^2 - x = 2(2x + 3)
\n" ); document.write( "x^2 - x = 4x + 6
\n" ); document.write( "x^2 -x - 4x - 6 = 0
\n" ); document.write( "x^2 - 5x - 6 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-6)(x+1) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 6
\n" ); document.write( "x = -1
\n" ); document.write( ":
\n" ); document.write( "Check both solutions in the original equation \n" ); document.write( "
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