document.write( "Question 146048: 2x+3=4x^2 \n" ); document.write( "
Algebra.Com's Answer #106590 by nerdybill(7384)\"\" \"About 
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2x+3=4x^2
\n" ); document.write( "0 = 4x^2 - 2x - 3
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\n" ); document.write( "First, consider factoring -- if that doesn't work, you must use the quadratic equation.
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"4x%5E2%2B-2x%2B-3+=+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=%28-2%29%5E2-4%2A4%2A-3=52\".
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\n" ); document.write( " Discriminant d=52 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--2%2B-sqrt%28+52+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-2%29%2Bsqrt%28+52+%29%29%2F2%5C4+=+1.151387818866\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-2%29-sqrt%28+52+%29%29%2F2%5C4+=+-0.651387818865997\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B-2x%2B-3\" can be factored:
\n" ); document.write( " \"4x%5E2%2B-2x%2B-3+=+4%28x-1.151387818866%29%2A%28x--0.651387818865997%29\"
\n" ); document.write( " Again, the answer is: 1.151387818866, -0.651387818865997.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+4%2Ax%5E2%2B-2%2Ax%2B-3+%29\"
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