Math, asked by tarachand27, 1 year ago

if x-1/x=6 evaluate x^4+1/x^4​

Answers

Answered by fiercespartan
4

Answer:

1442

Step-by-step explanation:

We know that x - (1/x) = 6 and we need to find x⁴ + (1/x⁴)

First, let's square x - (1/x) on both sides.

(a-b)² = a² - 2ab + b²

We will be left with:

x² -2 + (1/x²) = 36

x² + (1/x²) = 38

We will need to square on both sides again to get the desired answer.

After squaring, we will get:

(a+b)² = a² + 2ab + b²

x⁴ + 2 + ( 1 / x⁴ ) = 1444

x⁴ + (1 / x⁴) = 1442

Hence, the answer is 1442.

Answered by pritikumari16
4

Step-by-step explanation:

hey mate...

see the ans in the attached picture

hope it helps u....

Attachments:
Similar questions