document.write( "Question 64052: Stuck again.... ugh:-( Can someone please help me??
\n" ); document.write( "f(x)= -x^2+4x+1 \n" ); document.write( "
Algebra.Com's Answer #44681 by sarahschober(35)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"-1x%5E2%2B4x%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=%284%29%5E2-4%2A-1%2A1=20\".
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\n" ); document.write( " Discriminant d=20 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28-4%2B-sqrt%28+20+%29%29%2F2%5Ca\".
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\n" ); document.write( " \"x%5B1%5D+=+%28-%284%29%2Bsqrt%28+20+%29%29%2F2%5C-1+=+-0.23606797749979\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%284%29-sqrt%28+20+%29%29%2F2%5C-1+=+4.23606797749979\"
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\n" ); document.write( " Quadratic expression \"-1x%5E2%2B4x%2B1\" can be factored:
\n" ); document.write( " \"-1x%5E2%2B4x%2B1+=+%28x--0.23606797749979%29%2A%28x-4.23606797749979%29\"
\n" ); document.write( " Again, the answer is: -0.23606797749979, 4.23606797749979.\n" ); document.write( "Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-1%2Ax%5E2%2B4%2Ax%2B1+%29\"
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