Question

Write the discriminant of the following quadratic equations:

x² - x + 1 = 0

Answer 1

We have been given, x² - x + 1 = 0

Now we also know that for an equation ax² + bx + c = 0, the discriminant is given by the following equation:

D = b² - 4ac

Now, according to the equation given to us, we have,a = 1, b = -1 and c = 1.

Therefore, the discriminant is given as,

D = (-1)² - 4(1)(1)

= 1 - 4

= -3

Therefore, the discriminant of the equation is -3.