document.write( "Question 632503: s^2=3 +s(1-4s)
\n" ); document.write( "solve the given quadratic equation , using the quadratic formula? \n" ); document.write( "
Algebra.Com's Answer #398334 by richwmiller(17219)\"\" \"About 
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\n" ); document.write( "First let's put it in normal quadratic order.
\n" ); document.write( "s^2=3 +s(1-4s) becomes
\n" ); document.write( "s2=3+s-4s^2
\n" ); document.write( "5s^2-s-3=0
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"5x%5E2%2B-1x%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=%28-1%29%5E2-4%2A5%2A-3=61\".
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\n" ); document.write( " Discriminant d=61 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--1%2B-sqrt%28+61+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%28-1%29%2Bsqrt%28+61+%29%29%2F2%5C5+=+0.881024967590665\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-1%29-sqrt%28+61+%29%29%2F2%5C5+=+-0.681024967590665\"
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\n" ); document.write( " Quadratic expression \"5x%5E2%2B-1x%2B-3\" can be factored:
\n" ); document.write( " \"5x%5E2%2B-1x%2B-3+=+5%28x-0.881024967590665%29%2A%28x--0.681024967590665%29\"
\n" ); document.write( " Again, the answer is: 0.881024967590665, -0.681024967590665.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+5%2Ax%5E2%2B-1%2Ax%2B-3+%29\"
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