document.write( "Question 99175: Find two consecutive integers whose product is 156?
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Algebra.Com's Answer #72154 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=the first integer \n" ); document.write( "Then x+1=the second\r \n" ); document.write( "\n" ); document.write( "Now we are told that: \n" ); document.write( " x(x+1)=156 get rid of parens\r \n" ); document.write( "\n" ); document.write( "x^2+x=156 subtract 156 from both sides\r \n" ); document.write( "\n" ); document.write( "x^2+x-156=156-156 or \n" ); document.write( "x^2+x-156=0 quadratic in standard form and it can be factored:\r \n" ); document.write( "\n" ); document.write( "x+13)(x-12)=0\r \n" ); document.write( "\n" ); document.write( "x=-13------------first integer \n" ); document.write( "x+1=-13+1=-12-----------other integer \n" ); document.write( "and \n" ); document.write( "x=12-------------------first integer \n" ); document.write( "x+1=12+1=13-----------other integer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps----ptaylor \n" ); document.write( " |