document.write( "Question 143270: Solve the following problems involving applications of polynomials.\r
\n" ); document.write( "\n" ); document.write( "Three consecutive even integers are such that the square of the third is 76 more than the square of the second. Find the three integers. \r
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Algebra.Com's Answer #104285 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Three consecutive even integers:
\n" ); document.write( "x, (x+2), (x+4)
\n" ); document.write( ":
\n" ); document.write( "are such that the square of the third is 76 more than the square of the second.
\n" ); document.write( "(x+4)^2 = (x+2)^2 + 76
\n" ); document.write( "FOIL
\n" ); document.write( "x^2 + 8x + 16 = x^2 + 4x + 4 + 76
\n" ); document.write( ":
\n" ); document.write( "Arrange the x's on the left and the numbers on the right:
\n" ); document.write( "x^2 - x^2 + 8x - 4x = 4 + 76 - 16
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\n" ); document.write( "4x = 64
\n" ); document.write( "x = \"64%2F4\"
\n" ); document.write( "x = 16 is the 1st even integers
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\n" ); document.write( " Find the three integers.
\n" ); document.write( " 16, 18, 20
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\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"square of the third is 76 more than the square of the second.\"
\n" ); document.write( "20^2 = 18^2 + 76
\n" ); document.write( "400 = 324 + 76; confirms our solution
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\n" ); document.write( "C \n" ); document.write( "
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