What are the solutions to the equation s^5+s^2+s=0 ?

The solutions to the equation s^5+s^2+s=0 are s=0

Find the zeros of s^5+s^2+s=0

The zeros of s^5+s^2+s=0 are s=0

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s^{5} + s^{2} + s = 0

s = 0

Solution steps

s^{5} + s^{2} + s = 0

Factor

s^{5} + s^{2} + s : s (s^{4} + s + 1)

s (s^{4} + s + 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s = 0 or s^{4} + s + 1 = 0

Solve

s^{4} + s + 1 = 0 :

No Solution for

s \in R

The solution is

s = 0

x, 2 x^{4} + 3 = y^{2}

4 x^{3} - 52 x^{2} + 160 x - 100 = 0

x, f = (x + 1)^{3}

n^{3} + 12 n^{2} + 48 n + 64 = 0

x^{3} + 2 = 1

What are the solutions to the equation s^5+s^2+s=0 ?
The solutions to the equation s^5+s^2+s=0 are s=0
Find the zeros of s^5+s^2+s=0
The zeros of s^5+s^2+s=0 are s=0