document.write( "Question 525904: Solve x-6>(2/x) \n" ); document.write( "

Algebra.Com's Answer #348262 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
1Solve x-6>(2/x)
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\n" ); document.write( "x cannot be zero.
\n" ); document.write( "solve x-6 = 2/x
\n" ); document.write( "x^2-6x-2 = 0
\n" ); document.write( "x = [6+-sqrt(36-4*-2)]/2
\n" ); document.write( "x = [6+-2sqrt(11)]/2
\n" ); document.write( "x = [3+-sqrt(11)]
\n" ); document.write( "x = -0.3166 or x = 6.3166
\n" ); document.write( "---
\n" ); document.write( "Draw a number line and plot x = -0.3166, 0 and 6.3166 on it.
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\n" ); document.write( "Test a value from each of the 4 line intervals to see where
\n" ); document.write( "the solutions are.
\n" ); document.write( "x-6 > (2/x)
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\n" ); document.write( "Let x = -2 to get: (-2-6)>(-1) ; false
\n" ); document.write( "Let x = -0.2 to get: -6.2 > [2/(-0.2)] ; true so solutions in (-0.3166,0)
\n" ); document.write( "Let x = 0.2 to get: -5.8 > [2/0.2] false
\n" ); document.write( "Let x = 10 to get: 10-6 > 2/10 ; true so solutions in (6.3166,+oo)
\n" ); document.write( "----
\n" ); document.write( "Conclusion: Solutions in (-0.3166,0)U(6.3166,+oo)
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\n" ); document.write( " $\"graph%28400%2C400%2C-5%2C15%2C-15%2C5%2Cx-6%2C%282%2Fx%29%29\"$
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\n" ); document.write( "cheers,
\n" ); document.write( "Stan H.
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