Question

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question for maths expert....

Answer 1

Answer:

Option(B)

Step-by-step explanation:

Given Equation is x² - 4x + 1 = 0.

⇒ x² + 1 = 4x

Divide by 'x' on both sides, we get

⇒ x + (1/x) = 4.

On cubing both sides, we get

⇒ (x + 1/x)³ = (4)³

⇒ x³ + 1/x³ + 3(x + 1/x) = 64

⇒ x³ + 1/x³ + 3(4) = 64

⇒ x³ + 1/x³ + 12 = 64

⇒ x³ + 1/x³ = 64 - 12

⇒ x³ + 1/x³ = 52.

Merry Christmas!And best wishes for 2019

Answer 2

Answer:

52

Step-by-step explanation:

x^2 - 4x + 1 = 0

x^2 + 1 = 4x

x + 1/x = 4

cubing,

(x + 1/x)^3 = 4^3

x^3 + 1/x^3 + 3(x + 1/x) = 64

x^3 + 1/x^3 + 12 = 64

x^3 + 1/x^3 = 52