document.write( "Question 270102: what is the trinomial function for 4a squared plus 9a plus 20.25 equals 21.25? \n" ); document.write( "
Algebra.Com's Answer #197926 by edjones(8007)\"\" \"About 
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4a^2+9a+20.25=21.25
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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%2B9x%2B-1+=+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=%289%29%5E2-4%2A4%2A-1=97\".
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\n" ); document.write( " Discriminant d=97 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-9%2B-sqrt%28+97+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%289%29%2Bsqrt%28+97+%29%29%2F2%5C4+=+0.106107225224513\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%289%29-sqrt%28+97+%29%29%2F2%5C4+=+-2.35610722522451\"
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\n" ); document.write( " Quadratic expression \"4x%5E2%2B9x%2B-1\" can be factored:
\n" ); document.write( " \"4x%5E2%2B9x%2B-1+=+4%28x-0.106107225224513%29%2A%28x--2.35610722522451%29\"
\n" ); document.write( " Again, the answer is: 0.106107225224513, -2.35610722522451.\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%2B9%2Ax%2B-1+%29\"
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