document.write( "Question 193763: Determine the number of solutions and classify the type of solutions for each of the following equations. Justify your answer.
\n" ); document.write( " x2 + x + 4 = 0 \n" ); document.write( "
Algebra.Com's Answer #145485 by Mathtut(3670)\"\" \"About 
You can put this solution on YOUR website!
D=\"b%5E2-4ac=162-4%281%29%284%29=1-16=-15\"
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\n" ); document.write( "so since D<0 we will have 2 complex solutions
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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%2B1x%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=%281%29%5E2-4%2A1%2A4=-15\".
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\n" ); document.write( " The discriminant -15 is less than zero. That means that there are no solutions among real numbers.

\n" ); document.write( " If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

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\n" ); document.write( " In the field of imaginary numbers, the square root of -15 is + or - \"sqrt%28+15%29+=+3.87298334620742\".
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\n" ); document.write( " The solution is , or
\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%2B1%2Ax%2B4+%29\"
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