document.write( "Question 948344: Find three consecutive even integers such that three times the sum of the smallest and largest integers is the same as the square of the middle number. \n" ); document.write( "

Algebra.Com's Answer #578832 by stanbon(75887) $\"\"$ $\"About$

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Find three consecutive even integers such that three times the sum of the smallest and largest integers is the same as the square of the middle number.
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\n" ); document.write( "1st: 2x-2
\n" ); document.write( "2nd: 2x
\n" ); document.write( "3rd: 2x+2
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\n" ); document.write( "Equation:
\n" ); document.write( "3(4x) = 4x^2
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\n" ); document.write( "3x = x^2
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\n" ); document.write( "x(x-3) = 0
\n" ); document.write( "x = 0 or x = 3
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\n" ); document.write( "If x = 0,
\n" ); document.write( "1st = -2
\n" ); document.write( "2nd = 0
\n" ); document.write( "3rd = 2
\n" ); document.write( "-----------------
\n" ); document.write( "If x = 3,
\n" ); document.write( "1st = 4
\n" ); document.write( "2nd = 6
\n" ); document.write( "3rd = 8
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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