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)![]() ![]() You can put this solution on YOUR website! 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( ": \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 \n" ); document.write( ": \n" ); document.write( ": \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 \n" ); document.write( " |