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

The solutions to the equation 2s^2+s+1=0 are s=-1/4+i(sqrt(7))/4 ,s=-1/4-i(sqrt(7))/4

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

The zeros of 2s^2+s+1=0 are s=-1/4+i(sqrt(7))/4 ,s=-1/4-i(sqrt(7))/4

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

s = - \frac{1}{4} + i \frac{7}{4}, s = - \frac{1}{4} - i \frac{7}{4}

Solution steps

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 2 \cdot 1 : 7 i

s_{1, 2} = \frac{- 1 \pm 7 i}{2 \cdot 2}

Separate the solutions

s_{1} = \frac{- 1 + 7 i}{2 \cdot 2}, s_{2} = \frac{- 1 - 7 i}{2 \cdot 2}

s = \frac{- 1 + 7 i}{2 \cdot 2} : - \frac{1}{4} + i \frac{7}{4}

s = \frac{- 1 - 7 i}{2 \cdot 2} : - \frac{1}{4} - i \frac{7}{4}

The solutions to the quadratic equation are:

s = - \frac{1}{4} + i \frac{7}{4}, s = - \frac{1}{4} - i \frac{7}{4}

x^{2} + 8 + 3

0.81307831 x^{2} - 71.248 + 1600 = 0

- 4 x^{2} - 28 x = 0

648 - 6 x^{2} = 0

4 y^{2} + 3 y - 22 = 0

What are the solutions to the equation 2s^2+s+1=0 ?
The solutions to the equation 2s^2+s+1=0 are s=-1/4+i(sqrt(7))/4 ,s=-1/4-i(sqrt(7))/4
Find the zeros of 2s^2+s+1=0
The zeros of 2s^2+s+1=0 are s=-1/4+i(sqrt(7))/4 ,s=-1/4-i(sqrt(7))/4