document.write( "Question 314850: Find three consecutive numbers where the product of the smallest two numbers is 28 less than the square of the largest numbers. \n" ); document.write( "
Algebra.Com's Answer #225202 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! Find three consecutive numbers where the product of the smallest two numbers is 28 less than the square of the largest numbers. \n" ); document.write( ". \n" ); document.write( "Let x = smallest of three consecutive numbers \n" ); document.write( "then \n" ); document.write( "x+1 = middle number \n" ); document.write( "x+2 = largest number \n" ); document.write( ". \n" ); document.write( "(x+1)(x+2) = x^2 - 28 \n" ); document.write( "x^2+2x+x+2 = x^2 - 28 \n" ); document.write( "x^2+3x+2 = x^2 - 28 \n" ); document.write( "3x+2 = -28 \n" ); document.write( "3x = -30 \n" ); document.write( "x = -3 (smallest number) \n" ); document.write( ". \n" ); document.write( "middle: \n" ); document.write( "x+1 = -3+1 = -2 (middle) \n" ); document.write( ". \n" ); document.write( "Largest number: \n" ); document.write( "x+2 = -3+2 = -1 (largest) \n" ); document.write( ". \n" ); document.write( "solution, -3, -2, -1 \n" ); document.write( " |