Solve each of the following equations: x² + 3 = 0

Solution:

The given quadratic equation is x² + 3 = 0

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

We obtain a = 1, b = 0, and c = 3

Therefore, the discriminant of the given equation is

D = b² - 4ac

= 0² - 4 x 1 x 3

= -12

Therefore, the required solutions are

(- b ± √D)/2a = (- 0 ± √(-12))/(2 x 1)

= ± i√12/2 [∵ √ - 1 = i]

= (± 2√3i)/2

= ± √3i

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NCERT Solutions Class 11 Maths Chapter 5 Exercise 5.3 Question 1

Solve each of the following equations: x² + 3 = 0

Summary:

A complex equation x² + 3 = 0 is given. We have found that the solutions of the equation are ± √3i