What are the solutions to the equation s^3+132s^2+1540s+12000=0 ?

The solutions to the equation s^3+132s^2+1540s+12000=0 are s=-120,s=-6+8i,s=-6-8i

Find the zeros of s^3+132s^2+1540s+12000=0

The zeros of s^3+132s^2+1540s+12000=0 are s=-120,s=-6+8i,s=-6-8i

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s^{3} + 132 s^{2} + 1540 s + 12000 = 0

s = - 120, s = - 6 + 8 i, s = - 6 - 8 i

Solution steps

s^{3} + 132 s^{2} + 1540 s + 12000 = 0

Factor

s^{3} + 132 s^{2} + 1540 s + 12000 : (s + 120) (s^{2} + 12 s + 100)

(s + 120) (s^{2} + 12 s + 100) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s + 120 = 0 or s^{2} + 12 s + 100 = 0

Solve

s + 120 = 0 : s = - 120

Solve

s^{2} + 12 s + 100 = 0 : s = - 6 + 8 i, s = - 6 - 8 i

The solutions are

s = - 120, s = - 6 + 8 i, s = - 6 - 8 i

3 x^{36} - 140 x + 137 = 0

3 x^{3} - 2 x^{2} - 15 x + 10 = 0

x^{7} = 2

x^{7} = 1

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

What are the solutions to the equation s^3+132s^2+1540s+12000=0 ?
The solutions to the equation s^3+132s^2+1540s+12000=0 are s=-120,s=-6+8i,s=-6-8i
Find the zeros of s^3+132s^2+1540s+12000=0
The zeros of s^3+132s^2+1540s+12000=0 are s=-120,s=-6+8i,s=-6-8i