document.write( "Question 899720: Three consecutive odd integers are such that the square of the third integer is 65 less than the sum of the squares of the first two. One solution is -7, -5, and -3. Find three other consecutive odd integers that also satisfy the five conditions. \n" ); document.write( "
Algebra.Com's Answer #545577 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the integers be x,x+2,x+4\r \n" ); document.write( "\n" ); document.write( "(x+4)^2= x^2+(x+2)^2-65\r \n" ); document.write( "\n" ); document.write( "x^2+8x+16= x^2+x^2+4x+4-65\r \n" ); document.write( "\n" ); document.write( "x^2-4x-77=0\r \n" ); document.write( "\n" ); document.write( "x^2-11x+7x-77=0\r \n" ); document.write( "\n" ); document.write( "x(x-11)+7(x-11)=0\r \n" ); document.write( "\n" ); document.write( "(x-11)(x+7)=0\r \n" ); document.write( "\n" ); document.write( "x= 11 Or -7\r \n" ); document.write( "\n" ); document.write( "11,13,15 \n" ); document.write( " |