document.write( "Question 234852: For this problem I need to use the discriminate to determine the number of solutions of the quadratic equation, and whether the solutions are real or complex. It is not necessary to find the roots; just determine the number and types of solutions\r
\n" ); document.write( "\n" ); document.write( "2x^2 - 10x + 25 = 0 \n" ); document.write( "
Algebra.Com's Answer #173158 by philline_palana(20)\"\" \"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 \"2x%5E2%2B-10x%2B25+=+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=%28-10%29%5E2-4%2A2%2A25=-100\".
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\n" ); document.write( " The discriminant -100 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 -100 is + or - \"sqrt%28+100%29+=+10\".
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\n" ); document.write( " The solution is \"x%5B12%5D+=+%28--10%2B-i%2Asqrt%28+-100+%29%29%2F2%5C2+=++%28--10%2B-i%2A10%29%2F2%5C2+\", 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+2%2Ax%5E2%2B-10%2Ax%2B25+%29\"
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