s111770 s111770

05-04-2022
Mathematics

contestada

find the zeros simplify all irrational and complex solutions

f(x)=x^4-11x^2-80

Respuesta :

surjithayer surjithayer

05-04-2022

Answer:

Step-by-step explanation:

f(x)=x^4-11x^2-80=x^4-16x^2+5x^2-80

=x²(x²-16)+5(x²-16)

=(x²-16)(x²+5)

=(x-4)(x+4)[x²-(-5)]

=(x-4)(x+4)[x^2-(5i²)]

=(x-4)(x+4)(x-√5 i)(x+√5 i)

so zeros are 4,-4,√5 i,-√5 i

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