document.write( "Question 98926: The difference of the square of two consecutive positive consecutive odd integers is 32. Find the integers \n" ); document.write( "
Algebra.Com's Answer #72006 by edjones(8007)![]() ![]() You can put this solution on YOUR website! let the consecutive odd integers be: x, x+2 \n" ); document.write( "(x+2)^2-x^2=32 \n" ); document.write( "x^2+4x+4-x^2=32 \n" ); document.write( "cancel the x^2's out: 4x+4=32 \n" ); document.write( "subtract 4 from each side: 4x=28 \n" ); document.write( "divide 4 into each side: x=7 \n" ); document.write( "x+2=9 \n" ); document.write( "Check: \n" ); document.write( "9^2-7^2=32 \n" ); document.write( "81-49=32 \n" ); document.write( "Ed \n" ); document.write( " |