document.write( "Question 141735This question is from textbook Introductory Algebra
\n" ); document.write( ": The product of the smaller two of three consecutive integers is equal to 23 plus the largest. Find the integers. \n" ); document.write( "

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The product of the smaller two of three consecutive integers is equal to 23 plus the largest. Find the integers.
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\n" ); document.write( "3 consecutive integers: x, (x+1), (x+2)
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\n" ); document.write( "Write an equation for what it says:
\n" ); document.write( "x*(x+1) = 23 + (x+2)
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\n" ); document.write( "x^2 + x = x + 25
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\n" ); document.write( "x^2 + x - x - 25 = 0; arrange as a quadratic equation
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\n" ); document.write( "x^2 - 25 = 0; recognize this as the \"difference of square\"
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-5)(x+5) = 0
\n" ); document.write( "Two solutions:
\n" ); document.write( "x = +5, (5, 6, 7 are the integers)
\n" ); document.write( "and
\n" ); document.write( "x = -5, (-5, -4 ,-3 can also be the integers.
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\n" ); document.write( "Check both solutions in the original equation
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