document.write( "Question 92159: Find the solution sets for the following:\r
\n" ); document.write( "\n" ); document.write( "2/ x+1 + 6 = 3/x-1 \n" ); document.write( "
Algebra.Com's Answer #67258 by ankor@dixie-net.com(22740)\"\" \"About 
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Find the solution sets for the following:
\n" ); document.write( "Assume you mean:
\n" ); document.write( "\"2%2F%28%28x%2B1%29%29\" + 6 = \"3%2F%28%28x-1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "Multiply each term in the equation by (x+1)(x-1), results in:
\n" ); document.write( "2(x-1) + 6(x+1)(x-1) = 3(x+1)
\n" ); document.write( ":
\n" ); document.write( "2x - 2 + 6(x^2 - 1) = 3x + 3; FOILed (x+1)*(x-1)
\n" ); document.write( "2x - 2 + 6x^2 - 6 = 3x + 3
\n" ); document.write( ":
\n" ); document.write( "Arrange as a quadratic equation on the left:
\n" ); document.write( "6x^2 + 2x - 3x - 2 - 6 - 3 = 0
\n" ); document.write( ":
\n" ); document.write( "6x^2 - x - 11 = 0
\n" ); document.write( ":
\n" ); document.write( "Use the quadratic formula to find x: a=6; b=-1; c=-11
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28-%28-1%29+%2B-+sqrt%28-1%5E2+-+4+%2A+6+%2A+-11+%29%29%2F%282%2A6%29+\"
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28%2B1+%2B-+sqrt%28%2B1+-+%28-264%29+%29%29%2F%2812%29+\"; minus a minus is a plus
\n" ); document.write( ":
\n" ); document.write( "\"x+=+%28%2B1+%2B-+sqrt%28+265+%29%29%2F%2812%29+\"
\n" ); document.write( ":
\n" ); document.write( "Two solutions:
\n" ); document.write( "\"x+=+%28%2B1+%2B+16.2788%29%2F%2812%29+\"
\n" ); document.write( "x = \"%2B17.2788%2F12\"
\n" ); document.write( "x = +1.44
\n" ); document.write( "and
\n" ); document.write( "\"x+=+%28%2B1+-+16.2788%29%2F%2812%29+\"
\n" ); document.write( "x = \"-15.2788%2F12\"
\n" ); document.write( "x = -1.273
\n" ); document.write( ":
\n" ); document.write( "You should check these solutions in the original equation. \n" ); document.write( "
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