What are the solutions to the equation -x^3=25x ?

The solutions to the equation -x^3=25x are x=0,x=5i,x=-5i

Find the zeros of -x^3=25x

The zeros of -x^3=25x are x=0,x=5i,x=-5i

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- x^{3} = 25 x

x = 0, x = 5 i, x = - 5 i

Solution steps

- x^{3} = 25 x

Move

25 x

to the left side

- x^{3} - 25 x = 0

Factor

- x^{3} - 25 x : - x (x^{2} + 25)

- x (x^{2} + 25) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or x^{2} + 25 = 0

Solve

x^{2} + 25 = 0 : x = 5 i, x = - 5 i

The solutions are

x = 0, x = 5 i, x = - 5 i

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

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

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

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

x^{3} - 512 = 0

What are the solutions to the equation -x^3=25x ?
The solutions to the equation -x^3=25x are x=0,x=5i,x=-5i
Find the zeros of -x^3=25x
The zeros of -x^3=25x are x=0,x=5i,x=-5i