document.write( "Question 111947: the product of two consecutive positive integers is 306. we need to find the integers \n" ); document.write( "

Algebra.Com's Answer #81679 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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the product of two consecutive positive integers is 306. we need to find the integers.
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\n" ); document.write( "Let the two integers = x, (x+1)
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\n" ); document.write( "The product:
\n" ); document.write( "x(x+1) = 306
\n" ); document.write( ":
\n" ); document.write( "x^2 + x = 306
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\n" ); document.write( "x^2 + x - 306 = 0
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\n" ); document.write( "An easy way to find the factors, we know the two factors differ by 1
\n" ); document.write( "Find the square root of 306 on a calc.
\n" ); document.write( "One factor is above this value and one is below.
\n" ); document.write( "This would be:
\n" ); document.write( "(x+18)(x-17) = 0
\n" ); document.write( "x = +17, -18
\n" ); document.write( "It wants the positive integers, so our solution will be:
\n" ); document.write( "x = 17 \n" ); document.write( "

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