document.write( "Question 316: I need help solving the quadratic word problem:\r
\n" ); document.write( "\n" ); document.write( "Find three consecutive even integers such that the square of the sum of the smaller two is equal to twice the largest.\r
\n" ); document.write( "\n" ); document.write( "so far I... let x = the first integer, x+2 = the second integer, x+4 = the third integer.\r
\n" ); document.write( "\n" ); document.write( "Selina \n" ); document.write( "

Algebra.Com's Answer #161 by GreyWolf79(3) $\"\"$ $\"About$

You can put this solution on YOUR website!
We'll start from where you left off. If you look at the first part of the problem you will have $\"%28x%2B%28x%2B2%29%29%5E2=2%28x%2B4%29\"$ . Combine like terms to get $\"%282x%2B2%29%5E2=2%28x%2B4%29\"$ . Multiply it out to get $\"4x%5E2%2B8x%2B4=2x%2B8\"$ .
\n" ); document.write( "Combine like terms again to get $\"4x%5E2%2B6x-4=0\"$ . Factor the equation to get $\"2%282x%5E2%2B3x-2%29=0\"$ and then $\"2%282x-1%29%28x%2B2%29=0\"$ . Solve for x to get $\"x=1%2F2\"$ or $\"x=-2\"$ . Due to the original problem saying three consecutive even integers, we can eliminate $\"x=1%2F2\"$ . So the final answer is -2, 0, 2. \n" ); document.write( "

\n" );