Question

URGENT!AJUTOR!Am nevoie de rezolvarea completa,DAU COROANA ȘI PUNCTE PRIMULUI

Answer 1

x + 1 / x = 4

a)

( x + 1 / x )² = 4²

x² + 2 + 1 / x² = 16

x² + 1 / x² = 16 - 2

x² + 1 / x² = 14

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b)

( x + 1 / x )³ = 4³

x³ + 1 / x³ + 3 x / x ( x + 1 / x ) = 64

x³ + 1 / x³ + 3 · 4 = 64

x³ + 1 / x³ = 64 - 12

x³ + 1 / x³ = 52

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c)

( x + 1 / x )⁴ = 4⁴

x⁴ + 1 / x⁴ + 2 x / x ( 2 x² + 3 x / x + 2 / x² ) = 256

x⁴ + 1 / x⁴ + 2 ( 2 x² + 3 + 2 / x² ) = 256

x⁴ + 1 / x⁴ + 4 x² + 6 + 4 / x² = 256

x⁴ + 1 / x⁴ + 4 ( x² + 1 / x² ) = 256 - 6

x⁴ + 1 / x⁴ + 4 · 14 = 250

x⁴ + 1 / x⁴ = 250 - 56

x⁴ + 1 / x⁴ = 194

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