x2/3 + x1/3 = 2 समाधान करणार्या x च्या मूल्यांची बेरीज किती आहे?

Question

Question

This question was previously asked in

RRC Group D Previous Paper 5 (Held On: 23 Sep 2018 Shift 1)

Answer 1

⇒ x^2/3 + x^1/3 = 2

⇒ (x^2/3 + x^1/3)³ = 2³

⇒ x² + x + 3x(x^2/3 + x^1/3) = 8

⇒ x² + 7x - 8 = 0

⇒ x² + 8x - x - 8 = 0

⇒ x (x + 8) - 1 (x + 8) = 0

⇒ x = - 8 or x = 1

∴ x च्या मूल्यांची बेरीज = -8 + 1 = - 7