What are the solutions to the equation x^4-64x=0 ?

The solutions to the equation x^4-64x=0 are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

Find the zeros of x^4-64x=0

The zeros of x^4-64x=0 are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

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x^{4} - 64 x = 0

x = 0, x = 4, x = - 2 + 23 i, x = - 2 - 23 i

Solution steps

x^{4} - 64 x = 0

Factor

x^{4} - 64 x : x (x^{3} - 64)

x (x^{3} - 64) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} - 64 = 0

Solve

x^{3} - 64 = 0 : x = 4, x = - 2 + 23 i, x = - 2 - 23 i

The solutions are

x = 0, x = 4, x = - 2 + 23 i, x = - 2 - 23 i

p^{3} + 2 p + 3 = 0

x^{4} = \frac{16}{9}

x, 729 x^{6} - 4096 = 0

k, k^{3} - 4 k^{2} + k + 6 = 0

(x^{2} + 4 x + 3) (x^{2} - 4) = 0

What are the solutions to the equation x^4-64x=0 ?
The solutions to the equation x^4-64x=0 are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i
Find the zeros of x^4-64x=0
The zeros of x^4-64x=0 are x=0,x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i