Question

x²+1/x²,if x-1/x=2 find this Question
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Answer 1

Answer:

6

Step-by-step explanation:

x-1/x=2 (Given)

(x-1/x)²= (x)²+(1/x)²-2(x)(1/x)

{Using Identity (a-b)²=a²+b²-2ab}

⇒ (2)²= x²+1/x²-2 [x-1/x=2]

⇒ 4 = x²+1/x²-2

⇒ x²+1/x²= 4+2

⇒ x²+1/x² = 6

Therefore, x²+1/x²=6.