document.write( "Question 525263: The difference of the squares of two consecutive even integers is 124.
\n" ); document.write( "I did...
\n" ); document.write( "X^2-(x+2)^2=124
\n" ); document.write( "x^2-x^2+4x+4=124
\n" ); document.write( "4x=120
\n" ); document.write( "x=30
\n" ); document.write( "but she said solve it with quadratic formula... Is that even possible, if so how do I do that?
\n" ); document.write( "Thankyou. Sabrina (: \n" ); document.write( "
Algebra.Com's Answer #348109 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
he difference of the squares of two consecutive even integers is 124.
\n" ); document.write( ":\r
\n" ); document.write( "\n" ); document.write( "(x+2)^2 - x^2 = 124, (x^2 is the smaller number)
\n" ); document.write( "FOIL (x+2)(x+2) and you have
\n" ); document.write( "(x^2 + 4x + 4) - x^2= 124
\n" ); document.write( "Remove brackets
\n" ); document.write( "x^2 + 4x + 4 - x^2 = 124
\n" ); document.write( "Combine like terms
\n" ); document.write( "4x + 4 = 124
\n" ); document.write( "You don't need the quadratic formula
\n" ); document.write( "4x = 124 - 4
\n" ); document.write( "4x = 120
\n" ); document.write( "x = 120/4
\n" ); document.write( "x = 30
\n" ); document.write( ":
\n" ); document.write( "The two integers, 30 and 32
\n" ); document.write( ":
\n" ); document.write( "Check
\n" ); document.write( " 32^2 - 30^2
\n" ); document.write( " 1024 - 900 = 124, confirms our solutions \n" ); document.write( "
\n" );