if x-1/x=8 then evaluate x^2+1/x^2
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Answered by
1
Heya!!
x - 1/x = 8
Squaring on both sides we have
(x -1/x)² = 8²
x² + 1/x² - 2x(1/x) = 64
Becoz (a - b)² = a² + b² - 2ab
x² + 1/x² - 2 = 64
x² + 1/x² = 64 + 2
x² + 1/x² = 66
Therefore, x² + 1/x² = 66
Answered by
1
Answer:x-1/x=8
=x=1/9
Step-by-step explanation:x^2+1/x^2
=1/9^2+1/1/9^2
=1/18+1/1/18
=1/18+18
=(1+18)/18
=19/18
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