document.write( "Question 763092: Solve for x
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\n" ); document.write( "(1) x-1/4-2x-3/3=-1/12\r
\n" ); document.write( "\n" ); document.write( "(2) 2/6x-19=3/2x-11\r
\n" ); document.write( "\n" ); document.write( "(3) 2x+3/3x+4=7/10
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Algebra.Com's Answer #464494 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Solve for x
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\n" ); document.write( "(1) x-1/4-2x-3/3=-1/12
\n" ); document.write( "x - 1/4 - 2x - 1 = -1/12\
\n" ); document.write( "-x - 5/4 = -1/12
\n" ); document.write( "-x = -1/12 + 5/4 = -1/12 + 15/12
\n" ); document.write( "-x = 14/12
\n" ); document.write( "x = -7/6
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\n" ); document.write( "(2) 2/6x-19=3/2x-11
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\n" ); document.write( "Multiply thru by 6x
\n" ); document.write( "2 - 19*6x = 9 - 11*6x
\n" ); document.write( "2 - 114x = 9 - 66x
\n" ); document.write( "2 = 9 + 48x
\n" ); document.write( "48x = -7
\n" ); document.write( "x = -7/48
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\n" ); document.write( "(3) 2x+3/3x+4=7/10
\n" ); document.write( "2x + 1/x + 4 = 7/10
\n" ); document.write( "2x + 1/x = -33/10
\n" ); document.write( "\"2x%5E2+%2B+%2B+33x%2F10+-+1+=+0\"
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"2x%5E2%2B3.3x%2B-1+=+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=%283.3%29%5E2-4%2A2%2A-1=18.89\".
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\n" ); document.write( " Discriminant d=18.89 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-3.3%2B-sqrt%28+18.89+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%283.3%29%2Bsqrt%28+18.89+%29%29%2F2%5C2+=+0.261565690605037\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%283.3%29-sqrt%28+18.89+%29%29%2F2%5C2+=+-1.91156569060504\"
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\n" ); document.write( " Quadratic expression \"2x%5E2%2B3.3x%2B-1\" can be factored:
\n" ); document.write( " \"2x%5E2%2B3.3x%2B-1+=+%28x-0.261565690605037%29%2A%28x--1.91156569060504%29\"
\n" ); document.write( " Again, the answer is: 0.261565690605037, -1.91156569060504.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+2%2Ax%5E2%2B3.3%2Ax%2B-1+%29\"

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