What are the solutions to the equation x^5-13x^3+36x=0 ?

The solutions to the equation x^5-13x^3+36x=0 are x=0,x=-2,x=2,x=-3,x=3

Find the zeros of x^5-13x^3+36x=0

The zeros of x^5-13x^3+36x=0 are x=0,x=-2,x=2,x=-3,x=3

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x^{5} - 13 x^{3} + 36 x = 0

x = 0, x = - 2, x = 2, x = - 3, x = 3

Solution steps

x^{5} - 13 x^{3} + 36 x = 0

Factor

x^{5} - 13 x^{3} + 36 x : x (x + 2) (x - 2) (x + 3) (x - 3)

x (x + 2) (x - 2) (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x + 2 = 0 or x - 2 = 0 or x + 3 = 0 or x - 3 = 0

Solve

x + 2 = 0 : x = - 2

Solve

x - 2 = 0 : x = 2

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

The solutions are

x = 0, x = - 2, x = 2, x = - 3, x = 3

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

x^{6} + 36 = 100

(2 x - 1) (x^{2} - 14) = 0

4 x^{4} + 7 x^{2} - 36 = 0

x^{3} + 3 = 57

What are the solutions to the equation x^5-13x^3+36x=0 ?
The solutions to the equation x^5-13x^3+36x=0 are x=0,x=-2,x=2,x=-3,x=3
Find the zeros of x^5-13x^3+36x=0
The zeros of x^5-13x^3+36x=0 are x=0,x=-2,x=2,x=-3,x=3