document.write( "Question 800970: Please help me solve this equation:
\n" ); document.write( "y = 3x-3
\n" ); document.write( "Y = \"y%5E2-2x\"
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Algebra.Com's Answer #483403 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Please help me solve this equation:
\n" ); document.write( "y = 3x-3
\n" ); document.write( "y = \"y%5E2-2x\"
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\n" ); document.write( "It's 2 equations.
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\n" ); document.write( "Sub for y in the 2nd equation
\n" ); document.write( "\"3x-3+=+%283x-3%29%5E2+-+2x\"
\n" ); document.write( "\"9x%5E2+-+20x+%2B+9+=+3x-3\"
\n" ); document.write( "\"9x%5E2+-+23x+%2B+12+=+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 \"9x%5E2%2B-23x%2B12+=+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=%28-23%29%5E2-4%2A9%2A12=97\".
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\n" ); document.write( " Discriminant d=97 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--23%2B-sqrt%28+97+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-23%29%2Bsqrt%28+97+%29%29%2F2%5C9+=+1.82493654454423\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-23%29-sqrt%28+97+%29%29%2F2%5C9+=+0.730619011011328\"
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\n" ); document.write( " Quadratic expression \"9x%5E2%2B-23x%2B12\" can be factored:
\n" ); document.write( " \"9x%5E2%2B-23x%2B12+=+%28x-1.82493654454423%29%2A%28x-0.730619011011328%29\"
\n" ); document.write( " Again, the answer is: 1.82493654454423, 0.730619011011328.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+9%2Ax%5E2%2B-23%2Ax%2B12+%29\"

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\n" ); document.write( "y = 3x - 3 for 2 values of x.
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