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

Solution:

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

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

We obtain a = √2, b = - 1, and c = √2

Therefore, the discriminant of the given equation is

D = b² - 4ac

= (- 1)² - 4 x √2 x √2

= - 7

Hence, the required solutions are

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

= (1 ± i√7)/(2√2)     [∵ √- 1 = i]

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.3 Question 7

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

Summary:

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