Solve each of the following equations: - x² + x - 2 = 0

Solution:

The given quadratic equation is - x² + x - 2 = 0

On comparing the given equation with ax² + bx + c = 0,

We obtain a = - 1, b = 1 and c = - 2

Therefore, the discriminant of the given equation is

D = b² - 4ac

= 1² - 4 x (- 1) x (- 2)

= - 7

Therefore, the required solutions are

(- b ± √D)/2a = (- 1 ± √- 7)/(2 x - 1)

= (- 1 ± i√7)/(- 2) [∵ √- 1 = i]

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.3 Question 4

Solve each of the following equations: - x² + x - 2 = 0

Summary:

A complex equation - x² + x - 2 = 0 is given. We have found that the solutions of the equation are (- 1 ± i√ 7)/(- 2).