document.write( "Question 853891: -5x^2+3x+4=0 quadratic equation. \n" ); document.write( "
Algebra.Com's Answer #514335 by ewatrrr(24785)\"\" \"About 
You can put this solution on YOUR website!
 
\n" ); document.write( "Hi,
\n" ); document.write( "-5x^2+3x+4=0
\n" ); document.write( "\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"x+=+%28-3+%2B-+sqrt%28+89+%29%29%2F%28-10%29+\"
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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%2B3x%2B4+=+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=%283%29%5E2-4%2A-5%2A4=89\".
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\n" ); document.write( " Discriminant d=89 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-3%2B-sqrt%28+89+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%283%29%2Bsqrt%28+89+%29%29%2F2%5C-5+=+-0.64339811320566\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%283%29-sqrt%28+89+%29%29%2F2%5C-5+=+1.24339811320566\"
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\n" ); document.write( " Quadratic expression \"-5x%5E2%2B3x%2B4\" can be factored:
\n" ); document.write( " \"-5x%5E2%2B3x%2B4+=+-5%28x--0.64339811320566%29%2A%28x-1.24339811320566%29\"
\n" ); document.write( " Again, the answer is: -0.64339811320566, 1.24339811320566.\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%2B3%2Ax%2B4+%29\"
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