document.write( "Question 313297: find three consective intergers such that the product of the two smaller integers is 2 more than 10 times the largest integer. \n" ); document.write( "

Algebra.Com's Answer #224018 by stanbon(75887) $\"\"$ $\"About$

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find three consecutive integers such that the product of the two smaller integers is 2 more than 10 times the largest integer.
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\n" ); document.write( "1st: x
\n" ); document.write( "2nd: x+1
\n" ); document.write( "3rd: x+2
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\n" ); document.write( "INEQUALITY:
\n" ); document.write( "x(x+1) > 10(x+2) + 2
\n" ); document.write( "x^2+x > 10x+22
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\n" ); document.write( "x^2-9x-22 > 0
\n" ); document.write( "(x-11)(x+2) > 0
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\n" ); document.write( "1st: Plot the boundary points of the inequality.
\n" ); document.write( "Draw a number line and plot x = -2 and x = 11
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\n" ); document.write( "Check a test value from each of the intervals in the INEQUALITY:
\n" ); document.write( "If x=-3, (-3)^2-9(-3)-22>0 ; true so solutions in (-inf,-2)
\n" ); document.write( "If x = 0, (0)^2-9(0)-22>0 ; false
\n" ); document.write( "If x = 12, (12)^2-9(12)-22>0 ; true so solutions in (11,+inf)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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