Question

x^2+1/x^2=18,find X+1/x​

Answer 1

GIVEn

x^2+1/x^2=18,find X+1/x

SOLUTIOn

• x² + 1/x² = 18

★ Applying identity :

(a + b)² = a² + b² + 2ab

→ (x + 1/x)² = x² + 1/x² + 2*x*1/x

→ (x + 1/x)² = 18 + 2

→ (x + 1/x)² = 20

→ x + 1/x = √20

→ x + 1/x = 2√5

SOMe IDENTITIEs

• (a + b) = a² + b² + 2ab
• (a - b) = a² + b² - 2ab
• a² - b² = (a + b)(a - b)

Answer 2

Answer:

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