Math, asked by yadavmuskan7481, 5 months ago

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Answers

Answered by kramesh2841
1

Answer:

b. 16

Step-by-step explanation:

i hope it is useful

Answered by MяƖиνιѕιвʟє
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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