Find the discriminant of x^2−x+6=0. How many solutions is that?

Answer 1

Given quadratic is x² - x + 6 = 0

Discriminant is b² - 4ac (part of quadratic formula for finding roots)

for above function a = 1, b = -1 and c = 6

hence b² - 4ac = (-1)(-1) - 4(1)(6) = 1 - 24 = -23

+ve discriminant = 2 real solutions

0 discriminant = 1 solution

-ve discriminant = 2 imaginary solutions (involving i)