document.write( "Question 371412: Solve using the quadratic formula
\n" ); document.write( "12t^2-5t=2 \n" ); document.write( "
Algebra.Com's Answer #264576 by neatmath(302)\"\" \"About 
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Put the equation into standard form, ie
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\n" ); document.write( "\n" ); document.write( "\"12t%5E2-5t-2=0\"
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"at%5E2%2Bbt%2Bc=0\" (in our case \"12t%5E2%2B-5t%2B-2+=+0\") has the following solutons:
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\n" ); document.write( " \"t%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=%28-5%29%5E2-4%2A12%2A-2=121\".
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\n" ); document.write( " Discriminant d=121 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--5%2B-sqrt%28+121+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"t%5B1%5D+=+%28-%28-5%29%2Bsqrt%28+121+%29%29%2F2%5C12+=+0.666666666666667\"
\n" ); document.write( " \"t%5B2%5D+=+%28-%28-5%29-sqrt%28+121+%29%29%2F2%5C12+=+-0.25\"
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\n" ); document.write( " Quadratic expression \"12t%5E2%2B-5t%2B-2\" can be factored:
\n" ); document.write( " \"12t%5E2%2B-5t%2B-2+=+12%28t-0.666666666666667%29%2A%28t--0.25%29\"
\n" ); document.write( " Again, the answer is: 0.666666666666667, -0.25.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+12%2Ax%5E2%2B-5%2Ax%2B-2+%29\"
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