document.write( "Question 373769: Find three consecutive integers such that the square of the sum of the smaller two is 105 more than the square of the largest. I would like to know how to solve because I already have the answer which is 6,7,8. \n" ); document.write( "
Algebra.Com's Answer #265988 by amoresroy(361)\"\" \"About 
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Find three consecutive integers such that the square of the sum of the smaller two is 105 more than the square of the largest. I would like to know how to solve because I already have the answer which is 6,7,8. \r
\n" ); document.write( "\n" ); document.write( "Let x = the smallest integer
\n" ); document.write( " x+1 = the next integer
\n" ); document.write( " x+2 = the larget integer\r
\n" ); document.write( "\n" ); document.write( "(x+x+1)^2 = (x+2)^2 + 105
\n" ); document.write( "(2x+1)^2 = (x+2)^2 + 105
\n" ); document.write( "4x^2+4x+1 = x^2+4x+4+105
\n" ); document.write( "4x cancels out
\n" ); document.write( "4x^2-x^2 = 105+4-1
\n" ); document.write( " 3x^2 = 108
\n" ); document.write( " x^2 = 36
\n" ); document.write( " x = 6
\n" ); document.write( " x+1 = 7
\n" ); document.write( " x+2 = 8
\n" ); document.write( " \n" ); document.write( "
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