Solve each of the equation in Exercises 6 to 9: 3x² – 4x + 20/3 = 0

Solution:

The given quadratic equation can be written as,

9x² - 12x + 20 = 0

By comparing this with ax² + bx + c = 0, we get a = 9, b = -12, and c = 20.

Its discriminant is, D = b² - 4ac = (-12)² - 4(9)(20) = -576

The solutions of the given quadratic equation are,

(- b ± √D)/2a = (12 ± √(-576) ) / 2(9)

= (12 ± i√576) / 18 [∵ √- 1 = i]

= (12 ± 24i) / 18

= 2/3 ± (4/3) i

Hence, the solutions of 3x² – 4x + 20/3 = 0 are x = 2/3 + 4/3 i, 2/3 - 4/3 i

NCERT Solutions Class 11 Maths Chapter 5 Exercise ME Question 6

Solve each of the equation in Exercises 6 to 9: 3x² – 4x + 20/3 = 0

Summary:

The solutions of 3x² – 4x + 20/3 = 0 are x = 2/3 + 4/3 i, 2/3 - 4/3 i