document.write( "Question 282574: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
\n" ); document.write( "\"19x%5E2-7x%2B5=0\"\r
\n" ); document.write( "\n" ); document.write( "What is the value of the discriminant?\r
\n" ); document.write( "\n" ); document.write( "A) The equation has 2 imaginary solutions
\n" ); document.write( "B) the equation has 2 real solutions
\n" ); document.write( "C) The equation has 1 real solution
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Algebra.Com's Answer #205185 by richwmiller(17219)\"\" \"About 
You can put this solution on YOUR website!
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Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"19x%5E2%2B-7x%2B5+=+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=%28-7%29%5E2-4%2A19%2A5=-331\".
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\n" ); document.write( " The discriminant -331 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 -331 is + or - \"sqrt%28+331%29+=+18.1934053986603\".
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\n" ); document.write( " The solution is
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\n" ); document.write( " Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+19%2Ax%5E2%2B-7%2Ax%2B5+%29\"
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