document.write( "Question 27644: PLEASE SOLVE using quadratic formulas 3x2 -4x+1=0 \n" ); document.write( "
Algebra.Com's Answer #15025 by askmemath(368)\"\" \"About 
You can put this solution on YOUR website!
I assume you mean \"3X%5E2+-4x+%2B1=0\"\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%2B1+=+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%2A1=4\".
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\n" ); document.write( " Discriminant d=4 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--4%2B-sqrt%28+4+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-4%29%2Bsqrt%28+4+%29%29%2F2%5C3+=+1\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-4%29-sqrt%28+4+%29%29%2F2%5C3+=+0.333333333333333\"
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\n" ); document.write( " Quadratic expression \"3x%5E2%2B-4x%2B1\" can be factored:
\n" ); document.write( " \"3x%5E2%2B-4x%2B1+=+3%28x-1%29%2A%28x-0.333333333333333%29\"
\n" ); document.write( " Again, the answer is: 1, 0.333333333333333.\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%2B1+%29\"
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