document.write( "Question 313256: solve for x: x^2+6x+5>10 \n" ); document.write( "
Algebra.Com's Answer #223996 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
solve for x:
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\n" ); document.write( "x^2+6x+5>10
\n" ); document.write( "Rearrange:
\n" ); document.write( "x^2 + 6x -5 > 0
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\n" ); document.write( "1st: Solve the EQUALITY:
\n" ); document.write( "x^2+6x-5 = 0
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\n" ); document.write( "x = [-6 +- sqrt(36 - 4*-5)]/2
\n" ); document.write( "x = [-6 +- sqrt(56)]/2
\n" ); document.write( "x = [-6 +- 2sqrt(14)]/2
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\n" ); document.write( "x = [-3+sqrt(14)] or x = [-3-sqrt(14)]
\n" ); document.write( "---
\n" ); document.write( "Approximate answers: x = -6.74 or x = 0.74
\n" ); document.write( "Note: these are NOT solutions for the INEQUALITY, which is your problem.
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\n" ); document.write( "2nd: Solve the INEQUALITY x^2 + 6x -5 > 0\r
\n" ); document.write( "\n" ); document.write( "Draw a number line and mark x = -6.74 or x = 0.74
\n" ); document.write( "Check a sample value from each of the intervals in the INEQULITY.
\n" ); document.write( "If x = -10, (-10)^2+6(-10)-5 > 0 ; true so solutions in (-inf,-6.74)
\n" ); document.write( "If x = 0, (0)^2+6(0)-5 > 0 ; false so no solutions in (-6.74,0.74)
\n" ); document.write( "If x = 10, (10)^2+6*10-5 > 0 ; true so solutions in (0.74,+inf)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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