document.write( "Question 442711: What are some solutions to the equation x^2-6x+5=-8 \n" ); document.write( "

Algebra.Com's Answer #305394 by swincher4391(1107) $\"\"$ $\"About$

You can put this solution on YOUR website!
Solve the quadratic for 0.\r
\n" ); document.write( "\n" ); document.write( "x^2-6x + 13 =0\r
\n" ); document.write( "\n" ); document.write( "What multiples to 13 and adds to -6?\r
\n" ); document.write( "\n" ); document.write( "Well, 13 is prime, so only 1,13 are factors. So factoring won't be easy.\r
\n" ); document.write( "\n" ); document.write( "Let's use the discriminant to see if we will have any solutions.\r
\n" ); document.write( "\n" ); document.write( "The discriminant is defined as $\"b%5E2+-4ac\"$ \r
\n" ); document.write( "\n" ); document.write( "If b^2-4ac > 0, we will have 2 solutions.
\n" ); document.write( "If b^2-4ac < 0, we will have no solutions.\r
\n" ); document.write( "\n" ); document.write( " $\"b%5E2-4ac+=+-6%5E2+-+4%2A1%2A13+=+36+-42+=+-6\"$ \r
\n" ); document.write( "\n" ); document.write( "Thus we have no solutions. \n" ); document.write( "

\n" );