if x-1/x = root 3, find the value of x^2 + 1/x^2
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нєℓℓσ мαтє
нєяє ιѕ уσυя ѕσℓυтισи :-
x - 1 / x = √3
Now, on sqauring both the sides
( x - 1 / x )² = √3²
( a - в )² = a² + в² - 2aв
x² + ( 1 / x )² - ( 2 × x × 1 / x ) = √3 × √3
x² + 1 / x² - 2 = 3
x² + 1 / x² = 3 + 2
x² + 1 / x² = 5
нєи¢є αи∂ωєя = 5
нσρє ιт нєℓρѕ
нєяє ιѕ уσυя ѕσℓυтισи :-
x - 1 / x = √3
Now, on sqauring both the sides
( x - 1 / x )² = √3²
( a - в )² = a² + в² - 2aв
x² + ( 1 / x )² - ( 2 × x × 1 / x ) = √3 × √3
x² + 1 / x² - 2 = 3
x² + 1 / x² = 3 + 2
x² + 1 / x² = 5
нєи¢є αи∂ωєя = 5
нσρє ιт нєℓρѕ
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