document.write( "Question 931428: Find three consecutive positive integers such that the product of the first two is 22 less than 11 times the third \n" ); document.write( "
Algebra.Com's Answer #565554 by stanbon(75887) ![]() You can put this solution on YOUR website! Find three consecutive positive integers such that the product of the first two is 22 less than 11 times the third \n" ); document.write( "------------------ \n" ); document.write( "1st: x-1 \n" ); document.write( "2nd: x \n" ); document.write( "3rd: x+1 \n" ); document.write( "----- \n" ); document.write( "Equation: \n" ); document.write( "(x-1)x = 11(x+1)-22 \n" ); document.write( "------ \n" ); document.write( "x^2-x = 11x-11 \n" ); document.write( "---- \n" ); document.write( "x^2 - 12x + 11 = 0 \n" ); document.write( "(x-11)(x-1) = 0 \n" ); document.write( "--- \n" ); document.write( "x = 11 or x = 1 \n" ); document.write( "Positive solution: \n" ); document.write( "x-1 = 10 \n" ); document.write( "x = 11 \n" ); document.write( "x+1 = 12 \n" ); document.write( "-------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "--------------- \n" ); document.write( " |