What are the solutions to the equation -4s^3-24s^2-72s-80=0 ?

The solutions to the equation -4s^3-24s^2-72s-80=0 are s=-2,s=-2+sqrt(6)i,s=-2-sqrt(6)i

Find the zeros of -4s^3-24s^2-72s-80=0

The zeros of -4s^3-24s^2-72s-80=0 are s=-2,s=-2+sqrt(6)i,s=-2-sqrt(6)i

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- 4 s^{3} - 24 s^{2} - 72 s - 80 = 0

s = - 2, s = - 2 + 6 i, s = - 2 - 6 i

Solution steps

- 4 s^{3} - 24 s^{2} - 72 s - 80 = 0

Factor

- 4 s^{3} - 24 s^{2} - 72 s - 80 : - 4 (s + 2) (s^{2} + 4 s + 10)

- 4 (s + 2) (s^{2} + 4 s + 10) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s + 2 = 0 or s^{2} + 4 s + 10 = 0

Solve

s + 2 = 0 : s = - 2

Solve

s^{2} + 4 s + 10 = 0 : s = - 2 + 6 i, s = - 2 - 6 i

The solutions are

s = - 2, s = - 2 + 6 i, s = - 2 - 6 i

x^{3} - 7 x^{2} + 17 x + 25 = 0

3 x^{6} - 4 x^{3} - 46375 = 0

2 x^{3} + 5 x^{2} + 4 x + 1 = 0

x^{4} x - 1 = 4 x + 7

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

What are the solutions to the equation -4s^3-24s^2-72s-80=0 ?
The solutions to the equation -4s^3-24s^2-72s-80=0 are s=-2,s=-2+sqrt(6)i,s=-2-sqrt(6)i
Find the zeros of -4s^3-24s^2-72s-80=0
The zeros of -4s^3-24s^2-72s-80=0 are s=-2,s=-2+sqrt(6)i,s=-2-sqrt(6)i