document.write( "Question 235838: I am having trouble with the story problems\r
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document.write( "Three consectutive even integers are such that the square of the third is 76 more than the square of the second, Find the three integers. \n" );
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Algebra.Com's Answer #173627 by checkley77(12844)![]() ![]() ![]() You can put this solution on YOUR website! Let x, x+2 & x+4 be the 3 even integers. \n" ); document.write( "(x+4)^2=(x+2)^2+76 \n" ); document.write( "x^2+8x+16=x^2+4x+4+76 \n" ); document.write( "x^2-x^2+8x-4x=-16+4+76 \n" ); document.write( "4x+64 \n" ); document.write( "x=64/4 \n" ); document.write( "x=16 ans. for the smallest integer. \n" ); document.write( "16+2=18 ans. for the middle integer. \n" ); document.write( "16+4=20 ans. for the largest integer. \n" ); document.write( "Proof: \n" ); document.write( "20^2=18^2+76 \n" ); document.write( "400=324+76 \n" ); document.write( "400=400 \n" ); document.write( " |