solve it plz, find the value of at least no. 1 anybody plz
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Step-by-step explanation:
Given: x² + 1/x = 2 (1/2)
⇒ x + (1/x) = 5/2
Now,
(i)
(x - 1/x)² = (x + 1/x)² - 4
⇒ (x - 1/x)² = (5/2)² - 4
⇒ (x - 1/x)² = (25/4) - 4
⇒ (x - 1/x)² = (25 - 16)/4
⇒ (x - 1/x)² = 9/4
⇒ (x - 1/x) = 3/2
(ii)
x³ - (1/x³) = (x - 1/x)³ + 3(x - 1/x)
= (3/2)³ + 3(3/2)
= (27/8) + 9/2
= 63/8
Hope it helps!
Topperworm:
Awesome answer my dear
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1
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