What are the solutions to the equation 5x^5-45x=0 ?

The solutions to the equation 5x^5-45x=0 are x=0,x=sqrt(3)i,x=-sqrt(3)i,x=-sqrt(3),x=sqrt(3)

Find the zeros of 5x^5-45x=0

The zeros of 5x^5-45x=0 are x=0,x=sqrt(3)i,x=-sqrt(3)i,x=-sqrt(3),x=sqrt(3)

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5 x^{5} - 45 x = 0

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

Solution steps

5 x^{5} - 45 x = 0

Factor

5 x^{5} - 45 x : 5 x (x^{2} + 3) (x + 3) (x - 3)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

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

Solve

x^{2} + 3 = 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

- x^{4} - 8 x^{3} + 7 x^{2} + 56 x = 0

x^{4} - 32 x^{2} + 256 = 0

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

- λ^{3} + 5 λ^{2} - 3 λ - 9 = 0

25 x^{4} + 80 x^{2} + 64 = 0

What are the solutions to the equation 5x^5-45x=0 ?
The solutions to the equation 5x^5-45x=0 are x=0,x=sqrt(3)i,x=-sqrt(3)i,x=-sqrt(3),x=sqrt(3)
Find the zeros of 5x^5-45x=0
The zeros of 5x^5-45x=0 are x=0,x=sqrt(3)i,x=-sqrt(3)i,x=-sqrt(3),x=sqrt(3)