document.write( "Question 152950: The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers? \n" ); document.write( "
Algebra.Com's Answer #112399 by nerdybill(7384)\"\" \"About 
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The product of two consecutive odd integers is eight thousand, eight hundred thirty-five. What are the integers?
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\n" ); document.write( "Let x = first consecutive odd integer
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\n" ); document.write( "x+2 = second consecutive odd integer
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\n" ); document.write( "From the statement of the problem, we get our equation of:
\n" ); document.write( "x(x+2) = 8835
\n" ); document.write( "Expanding the left side:
\n" ); document.write( "x^2 + 2x = 8835
\n" ); document.write( "Subtracting 8835 from both sides:
\n" ); document.write( "x^2 + 2x - 8835 = 0
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\n" ); document.write( "Factoring the left side:
\n" ); document.write( "(x+95)(x-93) = 0
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\n" ); document.write( "Solution set is:
\n" ); document.write( "x = {93, -95}
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\n" ); document.write( "If we consider the \"positive\" solution:
\n" ); document.write( "x = 93 (first integer)
\n" ); document.write( "x+2 = 95 (second integer)
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\n" ); document.write( "If we consider the \"negative\" solution:
\n" ); document.write( "x = -95 (first integer)
\n" ); document.write( "-95+2 = -93 (second integer)
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