Question

Find the number of real solutions for the equation x^2-2x+3=0

Answer 1

If you can use the quadratic formula,
\[ax^2+bx+c=0\\
x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{2\pm\sqrt{4-12}}{2}\]
It has no real solutions.