Question

Find the solutions of the equation.

1/2x^2 - x + 5 = 0

Answer 1

\[1/2x^2 - x + 5 = 0\] easier to multiply by two and solve
\[x^2-2x+10=0\]

Answer 2

i don't think this one factors, so you can either complete the square (easiest in this case because 2 is even) or you use the quadratic formula
\[\frac{-b\pm\sqrt{b^2-4ac}}{2a}\] with
\[a=1,b=-2,c=10\]