How many roots does y equals x2 - 2x plus 5 have?

Answer 1

The equation [ y = x2 - 2x + 5 ] has an infinite number of solutions,

corresponding to every point on the graph of it.

The ROOTS corresponding to the two values of 'x' that satisfy the equation when y=0 ...

in other words, the points where the graph crosses the x-axis.

In the particular case of this equation, the graph doesn't cross the x-axis at all,

and the roots are not real numbers. There are still two of them, and they are

complex conjugates.

The roots are

X = 1 ± 2 i