What are the solutions to the equation s^4+7s^3+10s^2=0 ?

The solutions to the equation s^4+7s^3+10s^2=0 are s=0,s=-2,s=-5

Find the zeros of s^4+7s^3+10s^2=0

The zeros of s^4+7s^3+10s^2=0 are s=0,s=-2,s=-5

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s^{4} + 7 s^{3} + 10 s^{2} = 0

s = 0, s = - 2, s = - 5

Solution steps

s^{4} + 7 s^{3} + 10 s^{2} = 0

Factor

s^{4} + 7 s^{3} + 10 s^{2} : s^{2} (s + 2) (s + 5)

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s = 0 or s + 2 = 0 or s + 5 = 0

Solve

s + 2 = 0 : s = - 2

Solve

s + 5 = 0 : s = - 5

The solutions are

s = 0, s = - 2, s = - 5

x^{3} - 4 x^{2} - 13 x + 52 = 0

- x (x - 9) (4 x + 9) = 0

a^{4} - 2 a^{2} + 1 = 0

a \cdot a^{5} = a

r^{3} = \frac{3}{9}

What are the solutions to the equation s^4+7s^3+10s^2=0 ?
The solutions to the equation s^4+7s^3+10s^2=0 are s=0,s=-2,s=-5
Find the zeros of s^4+7s^3+10s^2=0
The zeros of s^4+7s^3+10s^2=0 are s=0,s=-2,s=-5