What are the solutions to the equation -5x^5+5x=0 ?

The solutions to the equation -5x^5+5x=0 are x=0,x=i,x=-i,x=-1,x=1

Find the zeros of -5x^5+5x=0

The zeros of -5x^5+5x=0 are x=0,x=i,x=-i,x=-1,x=1

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- 5 x^{5} + 5 x = 0

x = 0, x = i, x = - i, x = - 1, x = 1

Solution steps

- 5 x^{5} + 5 x = 0

Factor

- 5 x^{5} + 5 x : - 5 x (x^{2} + 1) (x + 1) (x - 1)

- 5 x (x^{2} + 1) (x + 1) (x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 1 = 0 or x + 1 = 0 or x - 1 = 0

Solve

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

Solve

x + 1 = 0 : x = - 1

Solve

x - 1 = 0 : x = 1

The solutions are

x = 0, x = i, x = - i, x = - 1, x = 1

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

x^{8} = - 256

x^{4} - 4 x^{3} + 4 x^{2}

(x^{2} - 36)^{2} + (x^{2} + 4 x - 12)^{2} = 0

4 x^{3} + 6 x^{2} - 72 x - 3 = 0

What are the solutions to the equation -5x^5+5x=0 ?
The solutions to the equation -5x^5+5x=0 are x=0,x=i,x=-i,x=-1,x=1
Find the zeros of -5x^5+5x=0
The zeros of -5x^5+5x=0 are x=0,x=i,x=-i,x=-1,x=1