Seudónimo Seudónimo
  • 09-02-2020
  • Mathematics
contestada

If x-[tex]\frac{1}{x}[/tex]=2
then find [tex]x^{2}[/tex]+[tex]\frac{1}{x^2}[/tex]

Respuesta :

jimrgrant1 jimrgrant1
  • 09-02-2020

Answer:

6

Step-by-step explanation:

Given

x - [tex]\frac{1}{x}[/tex] = 2

Square both sides

(x - [tex]\frac{1}{x}[/tex] )² = 2² ← expand left side using FOIL

x² - 2 + [tex]\frac{1}{x^2}[/tex] = 4 ( add 2 to both sides )

x² + [tex]\frac{1}{x^2}[/tex] = 6

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