What are the solutions to the equation 3s^2+2s+1=0 ?

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

Find the zeros of 3s^2+2s+1=0

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

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3 s^{2} + 2 s + 1 = 0

s = - \frac{1}{3} + i \frac{2}{3}, s = - \frac{1}{3} - i \frac{2}{3}

Solution steps

3 s^{2} + 2 s + 1 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 3 \cdot 1}{2 \cdot 3}

Simplify

2^{2} - 4 \cdot 3 \cdot 1 : 22 i

s_{1, 2} = \frac{- 2 \pm 2 2 i}{2 \cdot 3}

Separate the solutions

s_{1} = \frac{- 2 + 2 2 i}{2 \cdot 3}, s_{2} = \frac{- 2 - 2 2 i}{2 \cdot 3}

s = \frac{- 2 + 2 2 i}{2 \cdot 3} : - \frac{1}{3} + i \frac{2}{3}

s = \frac{- 2 - 2 2 i}{2 \cdot 3} : - \frac{1}{3} - i \frac{2}{3}

The solutions to the quadratic equation are:

s = - \frac{1}{3} + i \frac{2}{3}, s = - \frac{1}{3} - i \frac{2}{3}

4 x^{2} - 12 x - (x + 5)^{2} = - 32

25 - 2 x^{2} = 0

(x + 1)^{2} - 3 = 0

x^{2} - 200 x + 9600 = 0

x^{2} + 10 x + c

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