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3 years ago

I need to find all roots of x^4 - 64x

Mathematics

1 answer:

marishachu [46]3 years ago

8 0

Hello from MrBillDoesMath!

Answer: 0, 4, -2 -2 sqrt(3) i, -2 + 2 sqrt(3) i

Discussion:

Factor the expression:

x^4 - 64x = x (x^3 -64) = x (x-4)* (x^2 +4x + 16)

The roots 0, 4 are evident from the above factorization. Use the quadratic formula to find the roots of the quadratic. They are

x = -2 -2 sqrt(3) i

x = -2 + 2 sqrt(3) i

Thank you,

MrB

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