document.write( "Question 664700: Im not sure how to set up this problem, \" Find two consecutive positive even intergers such that the square of the smaller is 4 more than 4 times the larger.\" \n" ); document.write( "
Algebra.Com's Answer #413433 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Find two consecutive positive even integers such that the square of the smaller is 4 more than 4 times the larger.\"
\n" ); document.write( ":
\n" ); document.write( "Two consecutive even integers: x, (x+2)
\n" ); document.write( ":
\n" ); document.write( "The equation for what it says, the word \"is\" usually means \"=\"
\n" ); document.write( "x^2 = 4(x+2) + 4
\n" ); document.write( "x^2 = 4x + 8 + 4
\n" ); document.write( "x^2 = 4x + 12
\n" ); document.write( "Arrange as a quadratic equation
\n" ); document.write( "x^2 - 4x - 12 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-6)(x+2) = 0
\n" ); document.write( "Only the positive integer is required
\n" ); document.write( "x = 6, and 8 are the two integers
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works
\n" ); document.write( "6^2 = 4(8) + 4
\n" ); document.write( "36 = 32 + 4; confirms our solution
\n" ); document.write( "
\n" );