What are the solutions to the equation 9x^5-36x=0 ?

The solutions to the equation 9x^5-36x=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)

Find the zeros of 9x^5-36x=0

The zeros of 9x^5-36x=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)

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9 x^{5} - 36 x = 0

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

Solution steps

9 x^{5} - 36 x = 0

Factor

9 x^{5} - 36 x : 9 x (x^{2} + 2) (x + 2) (x - 2)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 2 = 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

x^{3} - x^{2} - 4 x - 1 = 0

x^{3} - 6 x^{2} + 11 x - 6.1 = 0

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

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

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

What are the solutions to the equation 9x^5-36x=0 ?
The solutions to the equation 9x^5-36x=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)
Find the zeros of 9x^5-36x=0
The zeros of 9x^5-36x=0 are x=0,x=sqrt(2)i,x=-sqrt(2)i,x=-sqrt(2),x=sqrt(2)