What are the solutions to the equation 4x^3+8x=0 ?

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

Find the zeros of 4x^3+8x=0

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

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4 x^{3} + 8 x = 0

x = 0, x = 2 i, x = - 2 i

Solution steps

4 x^{3} + 8 x = 0

Factor

4 x^{3} + 8 x : 4 x (x^{2} + 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 2 = 0

Solve

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

The solutions are

x = 0, x = 2 i, x = - 2 i

- 12 x^{5} - 6 x^{3} = - 10

x^{3} + 4 x^{2} - 44 x - 96 = 0

0 = m^{3}

2 x^{4} - 12 x^{3} + 10 x^{2} = 0

- 75 = y^{3} + 50

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