document.write( "Question 166426: the problem says find three consecutive even intergers such that the sum of the smaller two is one fourth the product of the second and third interger. So far i got x+x+2=1/4[(x+2)(x+4)] but after that im lost. Can you help me? \n" ); document.write( "
Algebra.Com's Answer #122651 by MRperkins(300)\"\" \"About 
You can put this solution on YOUR website!
you are absolutely correct in setting up your equation. Good job!
\n" ); document.write( "Now you just need to do the math to find out what x is.
\n" ); document.write( ".
\n" ); document.write( "Left side
\n" ); document.write( "x+x+2=2+2x
\n" ); document.write( ".
\n" ); document.write( "Right side
\n" ); document.write( "you need to foil (x+2)(x+4) and then distribute the \"1%2F4\" throughout all the terms.
\n" ); document.write( "\"%281%2F4%29%28x%2Ax%2Bx%2A4%2B2%2Ax%2B2%2A4%29\"
\n" ); document.write( "=
\n" ); document.write( "\"%281%2F4%29%28x%5E2%2B4x%2B2x%2B8%29\"
\n" ); document.write( "combine like terms
\n" ); document.write( "\"%281%2F4%29%28x%5E2%2B6x%2B8%29\"
\n" ); document.write( ".
\n" ); document.write( "distribute
\n" ); document.write( "\"%28x%5E2%2B6x%2B8%29%2F4\"
\n" ); document.write( "so you have
\n" ); document.write( "left side = right side
\n" ); document.write( "\"2%2B2x=%28x%5E2%2B6x%2B8%29%2F4\"
\n" ); document.write( "get rid of the 4 in the denominator by multiplying everything on the left and right side by 4.
\n" ); document.write( "\"8%2B8x=%28x%5E2%2B6x%2B8%29\"
\n" ); document.write( "get everything on one side
\n" ); document.write( "subtract (8+8x) from each side *make sure you use parenthesis() so you subtract both terms
\n" ); document.write( "\"0=x%5E2%2B6x%2B8-%288%2B8x%29\"
\n" ); document.write( "distribute the negative
\n" ); document.write( "\"0=x%5E2%2B6x%2B8-8-8x\"
\n" ); document.write( "combine like terms
\n" ); document.write( "\"0=x%5E2-2x\"
\n" ); document.write( ".
\n" ); document.write( "factor out an x
\n" ); document.write( "\"0=x%28x-2%29\"
\n" ); document.write( "x=0;
\n" ); document.write( "x=2
\n" ); document.write( "either one of these will work but since 0 is neither even or odd you can not use x=0 therefore x=2.
\n" ); document.write( ".
\n" ); document.write( "So, your three consecutive even integers are x, x+2, x+4 or 2,4,6
\n" ); document.write( ".
\n" ); document.write( "If you would like your questions answered quickly and consistently then consider making me your private tutor. For more information click on my name to go to my website or email me at justin.sheppard.tech@hotmail.com
\n" ); document.write( "
\n" ); document.write( "
\n" );