x = 2 + 22/3 + 21/3 হলে, x3 - 6x2 + 6x

x = 2 + 2^2/3 + 2^1/3 হলে, x³ - 6x² + 6x - 2 মান কত?

A 1

B -1

D 3

Solution

Correct Answer: Option C

x = 2 + 2^2/3 + 2^1/3
⇒ x - 2 = 2^2/3 + 2^1/3
⇒ (x - 2)³ = (2^2/3 + 2^1/3)³
⇒ x³ - 3.x².2 + 3.x.2² - 2³ = (2^2/3)³ + (2^1/3)³ + 3.2^2/3.2^1/3( 2^2/3 + 2^1/3)
⇒ x³ - 6x² + 12x - 8 = 2² + 2¹ + 3.2(x - 2)
⇒ x³ - 6x² + 12x - 8 = 4 + 2 + 6x - 12
⇒ x³ - 6x² + 6x - 2 = 0

Solution

Practice More Questions on Our App!

Related Topics