document.write( "Question 380930: Find three consecutive odd positive intergers such that 5 times the sum of all three is 66 more then the product of the first and second intergers. \n" ); document.write( "
Algebra.Com's Answer #270302 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the integers be x,x+2,x+4 \n" ); document.write( "... \n" ); document.write( "5(x+x+2+x+4)=x(x+2)+66 \n" ); document.write( "5(3x+6)=x^2+2x+66 \n" ); document.write( "15x+30=x^2+2x+66 \n" ); document.write( "-15x \n" ); document.write( "30=x^2+2x-15x+66 \n" ); document.write( "30=x^2-13x+66 \n" ); document.write( "-30 \n" ); document.write( "0=x^2-13x+36 \n" ); document.write( "x^2-9x-4x+36=0 \n" ); document.write( "x(x-9)-4(x-9)=0 \n" ); document.write( "(x-9)(x-4)=0 \n" ); document.write( "x= 9 OR 4. \n" ); document.write( "reject 4 \n" ); document.write( "x= 9 \n" ); document.write( "the numbers are 9,11,13.\r \n" ); document.write( "\n" ); document.write( "... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " \n" ); document.write( " |