document.write( "Question 733158: If n is the first of two consecutive even integers, write an equation that can be used to find the integers if the sum of the squares of twice the first and the second is 100. \n" ); document.write( "
Algebra.Com's Answer #448451 by ankor@dixie-net.com(22740)\"\" \"About 
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If n is the first of two consecutive even integers,
\n" ); document.write( " write an equation that can be used to find the integers
\n" ); document.write( " if the sum of the squares of twice the first and the second is 100.
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\n" ); document.write( "let n and (n+2) = the two even consecutive integers
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\n" ); document.write( "the sum of the squares of twice the first and the second is 1
\n" ); document.write( "(2x)^2 + (x+2)^2 = 100
\n" ); document.write( "4x^2 + x^2 + 4x + 4 = 100
\n" ); document.write( "5x^2 + 4x + 4 - 100 = 0
\n" ); document.write( "5x^2 + 4x - 96 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(5x+24)(x-4) = 0
\n" ); document.write( "the integer solution
\n" ); document.write( "x = 4
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\n" ); document.write( "The two consecutive even integers: 4, 6
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\n" ); document.write( "Check 8^2 + 6^2 = 100 \n" ); document.write( "
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