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Answered by
1
Answer:
b. 16
Step-by-step explanation:
i hope it is useful
Answered by
17
Given :-
- x - 1/x = 4
To find :-
- x² + 1/x²
Solution :-
- x - 1/x = 4
Squaring both side
→ (x - 1/x)² = (4)²
- Apply identity
- (a - b)² = a² + b² - 2ab
→ (x)² + (1/x)² - 2 × x × 1/x = 16
→ x² + 1/x² - 2 = 16
→ x² + 1/x² = 16 - 2
→ x² + 1/x² = 14
Hence,
- The value of x² + 1/x² is 14
Some more identities :-
- (a + b)³ = a³ + b³ + 3ab(a + b)
- (a - b)³ = a³ - b³ - 3ab(a - b)
- a³ - b³ = (a - b)(a² + ab + b²)
- a³ + b³ = (a + b)(a² - ab + b²)
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