document.write( "Question 860866: find three consecutive positive integers, such that the square of the smallest exceeds the largest by 10 \n" ); document.write( "
Algebra.Com's Answer #518696 by mananth(16946)![]() ![]() You can put this solution on YOUR website! let the integers be x,x+1 & x+2\r \n" ); document.write( "\n" ); document.write( "x^2= (x+2)+10\r \n" ); document.write( "\n" ); document.write( "x^2=x+12\r \n" ); document.write( "\n" ); document.write( "x^2-x-12=0\r \n" ); document.write( "\n" ); document.write( "x^2-4x+3x-12=0\r \n" ); document.write( "\n" ); document.write( "x(x-4)+3(x-4)=0\r \n" ); document.write( "\n" ); document.write( "(x-4)(x+3)=0\r \n" ); document.write( "\n" ); document.write( "x=4 OR -3\r \n" ); document.write( "\n" ); document.write( "positive integer = 4\r \n" ); document.write( "\n" ); document.write( "4,5,6 \n" ); document.write( " |