Hasan169 Hasan169

14-03-2021
Mathematics

contestada

if a^3-1/a^3=4 then what is the value of a-1/a ??

Respuesta :

KyanLin KyanLin

14-03-2021

Answer:

1 or -0.5±1.9365i

Step-by-step explanation:

We know that [tex]x^{3} - y^{3} = (x-y) ^{3} +3xy(x-y)[/tex]

So plug in x=a and y=1/a, (a-1/a)^3+3*a*1/a*(a-1/a)=4

Let a-1/a=k, k^3+3k=4, k=1 or a complex conjugate -0.5±1.9365i

That's the answer.

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