document.write( "Question 140412: the product of two consecutive even integers decreased by seven times the greater integer is 70. find the two integers \n" ); document.write( "
Algebra.Com's Answer #102258 by ankor@dixie-net.com(22740)\"\" \"About 
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Let the two consecutive integers be: x, (x+2)
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\n" ); document.write( "Write an equation for the statement:
\n" ); document.write( "\"the product of two consecutive even integers decreased by seven times the greater integer is 70.\"\r
\n" ); document.write( "\n" ); document.write( "x(x+2) - 7(x+2) = 70
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\n" ); document.write( "x^2 + 2x - 7x - 14 = 70
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\n" ); document.write( "x^2 - 5x - 14 - 70 = 0
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\n" ); document.write( "x^2 - 5x - 84 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(x-12)(x+7) = 0
\n" ); document.write( "Two solutions:
\n" ); document.write( "x = -7
\n" ); document.write( "x = +12
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\n" ); document.write( "find the two integers:
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\n" ); document.write( "The even solutions: 12, 14
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\n" ); document.write( "Check solution using the statement:
\n" ); document.write( "\"the product of two consecutive even integers decreased by seven times the greater integer is 70\"
\n" ); document.write( "12 * 14 - 7 * 14 =
\n" ); document.write( " 168 - 98 = 70; confirms the solution
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