document.write( "Question 394450: If the square of 2 more than a number is the same as 10 more than 9 times the number, what is the answer \n" ); document.write( "
Algebra.Com's Answer #279922 by ankor@dixie-net.com(22740)\"\" \"About 
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If the square of 2 more than a number is the same as 10 more than 9 times the number, what is the answer
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\n" ); document.write( "(x+2)^2 = 9x + 10
\n" ); document.write( "FOIL(x+2)(x+2)
\n" ); document.write( "x^2 + 4x + 4 = 9x + 10
\n" ); document.write( "Combine like terms on the left
\n" ); document.write( "x^2 + 4x - 9x + 4 - 10 = 0
\n" ); document.write( "x^2 - 5x - 6 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x+1)(x-6) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = -1
\n" ); document.write( "x = 6
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\n" ); document.write( "Check solutions in original equation
\n" ); document.write( "x=6
\n" ); document.write( "(6+2)^2 = 9(6) + 10
\n" ); document.write( "64 = 54 + 10
\n" ); document.write( "and x=-1
\n" ); document.write( "(-1+2)^2 = 9(-1) + 10
\n" ); document.write( "1 = -9 + 10
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