if x-1/x=6 evaluate x^4+1/x^4
Answers
Answered by
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
4
Step-by-step explanation:
hey mate...
see the ans in the attached picture
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