Math, asked by rupasarkar6323, 4 days ago

If x + 1/x =4, find the value of (i) x2 +1/x2 (ii) x4 +1/x4​

Answers

Answered by KvKt2217
3

Answer:

(i) 14

(ii) 194

Step-by-step explanation:

x+1/x=4

squaring both sides

(i) (x+1/x)²=16

x²+1/x²+2.x.1/x=16

x²+1/x²+2=16

x²+1/x²=16-2

x²+1/x²=14.

squaring both sides

(x²+1/x²)²=196

x⁴+1/x⁴+2x².1/x²=196

x⁴+1/x⁴+2=196

x⁴+1/x⁴=196-2

x⁴+1/x⁴=194

Hope it helps:)

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Answered by hetvigohel
1

Answer:

Step-by-step explanation:

this is the answer hope it helps you mark me brainlist

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