(x-1/x)= 6 then (x²+1/x²) a) 36 b)38 c) 32 d) 36 1/36
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Answered by
1
x + (1)/(x) = 6
Taking squares on both the sides , we get
(x + (1)/(x))^(2) = 6^(2)
implies x^(2) + (1)/(x^(2)) + 2 = 36
implies x^(2) + (1)/(x^(2)) = 34
Taking squares on both the sides , we get
(x + (1)/(x))^(2) = 6^(2)
implies x^(2) + (1)/(x^(2)) + 2 = 36
implies x^(2) + (1)/(x^(2)) = 34
Answered by
1
Answer:
Step-by-step explanation:
Given that,
x - 1/x = 6
x² + 1/x² = ( x - 1/x )² + 2 ×( x ) × ( 1/x )
= ( 6 )² + 2
= 36 + 2
= 38 is the answer.
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