document.write( "Question 499537: Three consecutive positive integers such that the sum of the square of the first and the product the product of the other two is 46, find the integers. \n" ); document.write( "

Algebra.Com's Answer #337761 by mananth(16946) $\"\"$ $\"About$

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let the integers be x, x+1,x+2\r
\n" ); document.write( "\n" ); document.write( "x^2+(x+1)(x+2)=46\r
\n" ); document.write( "\n" ); document.write( "x^2+x^2+3x+2=46
\n" ); document.write( "2x^2+3x-44=0\r
\n" ); document.write( "\n" ); document.write( "Find the roots of the equation by quadratic formula
\n" ); document.write( "
\n" ); document.write( "a= 2 ,b= 3 ,c= -44
\n" ); document.write( "
\n" ); document.write( "b^2-4ac= 9 + 352
\n" ); document.write( "b^2-4ac= 361
\n" ); document.write( " $\"x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29\"$
\n" ); document.write( " $\"x1=%28-12%2B21%29%2F%2812%29\"$
\n" ); document.write( "x1=( -3 + 19 )/ 4
\n" ); document.write( "x1= 4
\n" ); document.write( "x2=( -3 -19 ) / 4
\n" ); document.write( "x2= -5.5 \r
\n" ); document.write( "\n" ); document.write( "They are integers 4,5,6 \n" ); document.write( "

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