document.write( "Question 417548: Find three consecutive even integers such taht the square of the sum of the first and second integers is equal to twice the third integer. \n" ); document.write( "
Algebra.Com's Answer #292302 by nerdybill(7384)\"\" \"About 
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Find three consecutive even integers such taht the square of the sum of the first and second integers is equal to twice the third integer.
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\n" ); document.write( "Let x = first of three consecutive even integers
\n" ); document.write( "then
\n" ); document.write( "x+2 = second integer
\n" ); document.write( "x+4 = third integer
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\n" ); document.write( "(x + x+2)^2 =2(x+4)
\n" ); document.write( "(2x+2)^2 =2x+8
\n" ); document.write( "(2x+2)(2x+2) =2x+8
\n" ); document.write( "4x^2 + 8x + 4 = 2x + 8
\n" ); document.write( "4x^2 + 6x + 4 = 8
\n" ); document.write( "4x^2 + 6x - 4 = 0
\n" ); document.write( "2x^2 + 3x - 2 = 0
\n" ); document.write( "(2x-1)(x+2) = 0
\n" ); document.write( "x = {1/2, -2}
\n" ); document.write( "since we were looking for an integer we can throw out the 1/2 leaving:
\n" ); document.write( "x = -2
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\n" ); document.write( "solution: -2, 0, 2\r
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