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

The solutions to the equation s^3+3s^2+3s-7=0 are s=1,s=-2+sqrt(3)i,s=-2-sqrt(3)i

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

The zeros of s^3+3s^2+3s-7=0 are s=1,s=-2+sqrt(3)i,s=-2-sqrt(3)i

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s^{3} + 3 s^{2} + 3 s - 7 = 0

s = 1, s = - 2 + 3 i, s = - 2 - 3 i

Solution steps

s^{3} + 3 s^{2} + 3 s - 7 = 0

Factor

s^{3} + 3 s^{2} + 3 s - 7 : (s - 1) (s^{2} + 4 s + 7)

(s - 1) (s^{2} + 4 s + 7) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

s - 1 = 0 or s^{2} + 4 s + 7 = 0

Solve

s - 1 = 0 : s = 1

Solve

s^{2} + 4 s + 7 = 0 : s = - 2 + 3 i, s = - 2 - 3 i

The solutions are

s = 1, s = - 2 + 3 i, s = - 2 - 3 i

4 x^{3} + 24 x + 36 = 0

x^{3} = 76

y^{6} - 3 y^{4} + 3 y^{2} - y = 0

2 x^{3} - x^{2} - 22 x - 24 = 0

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

What are the solutions to the equation s^3+3s^2+3s-7=0 ?
The solutions to the equation s^3+3s^2+3s-7=0 are s=1,s=-2+sqrt(3)i,s=-2-sqrt(3)i
Find the zeros of s^3+3s^2+3s-7=0
The zeros of s^3+3s^2+3s-7=0 are s=1,s=-2+sqrt(3)i,s=-2-sqrt(3)i