What are the solutions to the equation x^5-81x=0 ?

The solutions to the equation x^5-81x=0 are x=0,x=3i,x=-3i,x=-3,x=3

Find the zeros of x^5-81x=0

The zeros of x^5-81x=0 are x=0,x=3i,x=-3i,x=-3,x=3

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x^{5} - 81 x = 0

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

Solution steps

x^{5} - 81 x = 0

Factor

x^{5} - 81 x : x (x^{2} + 9) (x + 3) (x - 3)

x (x^{2} + 9) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 9 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x^{2} + 9 = 0 : x = 3 i, x = - 3 i

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = 3 i, x = - 3 i, x = - 3, x = 3

6 x^{3} - 21 x^{2} - 12 x = 0

p^{3} - 4 p = 0

605 = 5 x^{3}

b^{3} - b = 0

12 x^{4} + 7 x^{3} - 42 x^{2} - x = 0

What are the solutions to the equation x^5-81x=0 ?
The solutions to the equation x^5-81x=0 are x=0,x=3i,x=-3i,x=-3,x=3
Find the zeros of x^5-81x=0
The zeros of x^5-81x=0 are x=0,x=3i,x=-3i,x=-3,x=3