document.write( "Question 722004: Solve this Quadratic equation for me please.
\n" ); document.write( "X^3-X^2+2=0
\n" ); document.write( "^= means= indices or power to. \n" ); document.write( "

Algebra.Com's Answer #442612 by josgarithmetic(39630) $\"\"$ $\"About$

You can put this solution on YOUR website!
It is cubic. It is not quadratic.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Suggestion for solving is to try to look for binomial factorization for the cubic polynomial. Try dividing by (x-1), (x+1), (x-2), and (x+2). At least one of them should give no remainder. The ones which divide giving no remainder are binomial factors. \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Now, I tried it myself. x+1 is the only binomial factor.
\n" ); document.write( " $\"x%5E3-x%5E2%2B2=%28x%2B1%29%28x%5E2-2x%2B2%29\"$ , so when you try to use the general solution for a quadratic equation to find roots of the quadratic expression, you will only find the complex roots, $\"1%2Bi\"$ and $\"1-i\"$ . the only real root then for the given cubic equation is $\"x=-1\"$ . \n" ); document.write( "

\n" );