Question

what are the real solutions of the equation x^2-x+2=0

Answer 1

\[
a=1\\b=-1\\c=2\\
\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\
\frac{1\pm\sqrt{1-8}}{2}=\frac{1\pm\sqrt{-7}}{2}
\]Because the square root of -7 is an imaginary number, this equation has no real solutions.

Answer 2

polynomial is not factorable with real numbers