document.write( "Question 354666: Using the quadratic equation, -6x^2+7x-14=0 \n" ); document.write( "
Algebra.Com's Answer #253412 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "\n" ); document.write( "
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation \"ax%5E2%2Bbx%2Bc=0\" (in our case \"-6x%5E2%2B7x%2B-14+=+0\") has the following solutons:
\n" ); document.write( "
\n" ); document.write( " \"x%5B12%5D+=+%28b%2B-sqrt%28+b%5E2-4ac+%29%29%2F2%5Ca\"
\n" ); document.write( "
\n" ); document.write( " For these solutions to exist, the discriminant \"b%5E2-4ac\" should not be a negative number.
\n" ); document.write( "
\n" ); document.write( " First, we need to compute the discriminant \"b%5E2-4ac\": \"b%5E2-4ac=%287%29%5E2-4%2A-6%2A-14=-287\".
\n" ); document.write( "
\n" ); document.write( " The discriminant -287 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.

\n" ); document.write( "
\n" ); document.write( " In the field of imaginary numbers, the square root of -287 is + or - \"sqrt%28+287%29+=+16.9410743460974\".
\n" ); document.write( "
\n" ); document.write( " The solution is
\n" ); document.write( "
\n" ); document.write( " Here's your graph:
\n" ); document.write( "\"graph%28+500%2C+500%2C+-10%2C+10%2C+-20%2C+20%2C+-6%2Ax%5E2%2B7%2Ax%2B-14+%29\"
\n" ); document.write( " \n" ); document.write( "
\n" );