What are the solutions to the equation 5x^5-80x=0 ?

The solutions to the equation 5x^5-80x=0 are x=0,x=2i,x=-2i,x=-2,x=2

Find the zeros of 5x^5-80x=0

The zeros of 5x^5-80x=0 are x=0,x=2i,x=-2i,x=-2,x=2

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5 x^{5} - 80 x = 0

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

Solution steps

5 x^{5} - 80 x = 0

Factor

5 x^{5} - 80 x : 5 x (x^{2} + 4) (x + 2) (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

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

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

The solutions are

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

r^{3} - 7 r^{2} + 16 r - 12

x^{3} = 64

6 x^{4} + 5 x^{3} + 25 x^{2} + 20 x + 4 = 0

x^{3} - 2 x^{2} + 62 - 0.5 = 0

x^{4} + 2 x^{2} + 1 = 0

What are the solutions to the equation 5x^5-80x=0 ?
The solutions to the equation 5x^5-80x=0 are x=0,x=2i,x=-2i,x=-2,x=2
Find the zeros of 5x^5-80x=0
The zeros of 5x^5-80x=0 are x=0,x=2i,x=-2i,x=-2,x=2