Math, asked by aditya6391, 1 year ago

if x^4+1/x^4=119 find x-1/x

Answers

Answered by sonabrainly
22

Adding 2 on both sides;

x^4 + 1/x^4 +2 = 119 +2

(x²+1/x²)²=121

x²+1/x²=11

Adding -2 on both sides

x²-2+1/x²=9

(x-1/x)²= 9

x-1/x= ±3

Now, (x-1/x)³= x³-1/x³-3(x-1/x)

Consider x-1/x= 3 .

3³ = x³-1/x³-3(3)

27= x³-1/x³ - 9

27+9=x³-1/x³

36 = x³-1/x³

consider x-1/x = -3

-27 = x³-1/x³-3(-3)

-27 = x³-1/x³+9

-27-9 = x³-1/x³

x³-1/x³ = ±36

Answered by vedkishor3
4

Answer:

+-3

Step-by-step explanation:

this is correct answer

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