document.write( "Question 221296: i need so much help with my math hmwk. Right now I am trying to solve the following
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\n" ); document.write( "x/2x-3 - 1/x=2
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Algebra.Com's Answer #166021 by drj(1380)\"\" \"About 
You can put this solution on YOUR website!
I need so much help with my math hmwk. Right now I am trying to solve the following\r
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\n" ); document.write( "\n" ); document.write( "\"x%2F%282x-3%29-1%2Fx=2\"\r
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\n" ); document.write( "\n" ); document.write( "Step 1. Multiply x(2x-3) to both sides of equation get rid of fractions\r
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\n" ); document.write( "\n" ); document.write( "\"x%282x-3%29x%2F%282x-3%29-x%282x-3%29%2Fx=2x%282x-3%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-%282x-3%29=4x%5E2-6x\"\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x%2B6=4x%5E2-6x\"\r
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\n" ); document.write( "\n" ); document.write( "Step 2. Subtract \"x%5E2\" from both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"x%5E2-2x%2B6-x%5E2=4x%5E2-6x-x%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"-2x%2B6=3x%5E2-6x\"\r
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\n" ); document.write( "\n" ); document.write( "Step 3. Add 2x-6 to both sides of the equation\r
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\n" ); document.write( "\n" ); document.write( "\"-2x%2B6%2B2x-6x=3x%5E2-6x%2B2x-6\"]\r
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\n" ); document.write( "\n" ); document.write( "\"0=3x%5E2-4x-6\"\r
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\n" ); document.write( "\n" ); document.write( "Step 4. Use the quadratic formula given as \r
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\n" ); document.write( "\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"\r
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\n" ); document.write( "\n" ); document.write( "where a=3, b=-4 and c=-6\r
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"3x%5E2%2B-4x%2B-6+=+0\") has the following solutons:
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\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
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\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
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\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%28-4%29%5E2-4%2A3%2A-6=88\".
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\n" ); document.write( " Discriminant d=88 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--4%2B-sqrt%28+88+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+88+%29%29%2F2%5C3+=+2.23013858660781\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-4%29-sqrt%28+88+%29%29%2F2%5C3+=+-0.896805253274477\"
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\n" ); document.write( " Quadratic expression \"3x%5E2%2B-4x%2B-6\" can be factored:
\n" ); document.write( " \"3x%5E2%2B-4x%2B-6+=+3%28x-2.23013858660781%29%2A%28x--0.896805253274477%29\"
\n" ); document.write( " Again, the answer is: 2.23013858660781, -0.896805253274477.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+3%2Ax%5E2%2B-4%2Ax%2B-6+%29\"

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\n" ); document.write( "\n" ); document.write( "I hope the above steps were helpful.\r
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\n" ); document.write( "\n" ); document.write( "For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.\r
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\n" ); document.write( "\n" ); document.write( "Good luck in your studies!\r
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\n" ); document.write( "\n" ); document.write( "Respectfully,
\n" ); document.write( "Dr J\r
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