Solve each of the following equations: √3 x² - √2x + 3√3 = 0

Solution:

The given quadratic equation is √3 x² - √2x + 3√3 = 0

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

We obtain a = √3, b = - √2, and c = √3

Therefore, the discriminant of the given equation is

D = b² - 4ac

= (- √2)² - 4 x √3 x 3√3

= - 34

Hence, the required solutions are

(- b ± √D)/2a = (- (√2) ± √-34)/(2 x √3)

= (√2 ± i√34)/(2√3) [∵ √- 1 = i]

NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.3 Question 8

Solve each of the following equations: √3 x² - √2x + 3√3 = 0

Summary:

A complex equation √3 x² - √2x + 3√3 = 0 is given. We have found that the solutions of the equation are (√2 ± i√34)/(2√3)