What are the solutions to the equation x^4+8x=0 ?

The solutions to the equation x^4+8x=0 are x=0,x=-2,x=1-sqrt(3)i,x=1+sqrt(3)i

Find the zeros of x^4+8x=0

The zeros of x^4+8x=0 are x=0,x=-2,x=1-sqrt(3)i,x=1+sqrt(3)i

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x^{4} + 8 x = 0

x = 0, x = - 2, x = 1 - 3 i, x = 1 + 3 i

Solution steps

x^{4} + 8 x = 0

Factor

x^{4} + 8 x : x (x^{3} + 8)

x (x^{3} + 8) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{3} + 8 = 0

Solve

x^{3} + 8 = 0 : x = - 2, x = 1 - 3 i, x = 1 + 3 i

The solutions are

x = 0, x = - 2, x = 1 - 3 i, x = 1 + 3 i

x, x^{3} + y^{3} = 50

x^{4} + 6 x^{2} + 9 = 0

x^{6} - 3 x^{4} + 4 x^{2} - 12 = 0

4 x^{3} + 6 x^{2} - 6 x - 4 = 0

x^{4} + 2 x^{2} - 15 = 0

What are the solutions to the equation x^4+8x=0 ?
The solutions to the equation x^4+8x=0 are x=0,x=-2,x=1-sqrt(3)i,x=1+sqrt(3)i
Find the zeros of x^4+8x=0
The zeros of x^4+8x=0 are x=0,x=-2,x=1-sqrt(3)i,x=1+sqrt(3)i