document.write( "Question 179457This question is from textbook
\n" ); document.write( ": I am having trouble with the quadratic formula:
\n" ); document.write( "\"x%5E2-2x=15x-10\" Thank you for your time.
\n" ); document.write( "

Algebra.Com's Answer #134401 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
\"x%5E2-2x=15x-10\"
\n" ); document.write( "Start by moving all terms to the left:
\n" ); document.write( "\"x%5E2-2x-15x%2B10=0\"
\n" ); document.write( "\"x%5E2-17x%2B10=0\"
\n" ); document.write( "Since, you can't factor, you must apply the quadratic equation. Doing so yields:
\n" ); document.write( "x = {16.390, 0.610}
\n" ); document.write( ".
\n" ); document.write( "Details of the quadratic follows:
\n" ); document.write( "\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 \"1x%5E2%2B-17x%2B10+=+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=%28-17%29%5E2-4%2A1%2A10=249\".
\n" ); document.write( "
\n" ); document.write( " Discriminant d=249 is greater than zero. That means that there are two solutions: \"+x%5B12%5D+=+%28--17%2B-sqrt%28+249+%29%29%2F2%5Ca\".
\n" ); document.write( "
\n" ); document.write( " \"x%5B1%5D+=+%28-%28-17%29%2Bsqrt%28+249+%29%29%2F2%5C1+=+16.3898669190297\"
\n" ); document.write( " \"x%5B2%5D+=+%28-%28-17%29-sqrt%28+249+%29%29%2F2%5C1+=+0.61013308097025\"
\n" ); document.write( "
\n" ); document.write( " Quadratic expression \"1x%5E2%2B-17x%2B10\" can be factored:
\n" ); document.write( " \"1x%5E2%2B-17x%2B10+=+1%28x-16.3898669190297%29%2A%28x-0.61013308097025%29\"
\n" ); document.write( " Again, the answer is: 16.3898669190297, 0.61013308097025.\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%2B-17%2Ax%2B10+%29\"
\n" ); document.write( "
\n" ); document.write( "
\n" );