What are the solutions to the equation s^2+0.2s+1=0 ?

The solutions to the equation s^2+0.2s+1=0 are s=-1/10+i(3sqrt(11))/(10),s=-1/10-i(3sqrt(11))/(10)

Find the zeros of s^2+0.2s+1=0

The zeros of s^2+0.2s+1=0 are s=-1/10+i(3sqrt(11))/(10),s=-1/10-i(3sqrt(11))/(10)

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s^{2} + 0.2 s + 1 = 0

s = - \frac{1}{10} + i \frac{3 11}{10}, s = - \frac{1}{10} - i \frac{3 11}{10}

Solution steps

s^{2} + 0.2 s + 1 = 0

Multiply both sides by

10

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

Solve with the quadratic formula

s_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 10 \cdot 10}{2 \cdot 10}

Simplify

2^{2} - 4 \cdot 10 \cdot 10 : 611 i

s_{1, 2} = \frac{- 2 \pm 6 11 i}{2 \cdot 10}

Separate the solutions

s_{1} = \frac{- 2 + 6 11 i}{2 \cdot 10}, s_{2} = \frac{- 2 - 6 11 i}{2 \cdot 10}

s = \frac{- 2 + 6 11 i}{2 \cdot 10} : - \frac{1}{10} + i \frac{3 11}{10}

s = \frac{- 2 - 6 11 i}{2 \cdot 10} : - \frac{1}{10} - i \frac{3 11}{10}

The solutions to the quadratic equation are:

s = - \frac{1}{10} + i \frac{3 11}{10}, s = - \frac{1}{10} - i \frac{3 11}{10}

x^{2} - 5 x - 750 = 0

x^{2} - 7 x + 22 = 0

- 4 x^{2} + 2 x + 6 = 0

x^{2} - 10 x = - 17

x^{2} - 10 x = - 26

What are the solutions to the equation s^2+0.2s+1=0 ?
The solutions to the equation s^2+0.2s+1=0 are s=-1/10+i(3sqrt(11))/(10),s=-1/10-i(3sqrt(11))/(10)
Find the zeros of s^2+0.2s+1=0
The zeros of s^2+0.2s+1=0 are s=-1/10+i(3sqrt(11))/(10),s=-1/10-i(3sqrt(11))/(10)