What are the solutions to the equation s^2+0.2s+0.1=0 ?

The solutions to the equation s^2+0.2s+0.1=0 are s=-1/10+i 3/10 ,s=-1/10-i 3/10

Find the zeros of s^2+0.2s+0.1=0

The zeros of s^2+0.2s+0.1=0 are s=-1/10+i 3/10 ,s=-1/10-i 3/10

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s^{2} + 0.2 s + 0.1 = 0

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

Solution steps

s^{2} + 0.2 s + 0.1 = 0

Multiply both sides by

10

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

Solve with the quadratic formula

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

Simplify

2^{2} - 4 \cdot 10 \cdot 1 : 6 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

- 6 - 4

∣ x - 3 ∣ \leq 4

3 x - 5 \geq 19

1000 (0.5)^{\frac{70}{30}}

(- 3)^{2} - 5

What are the solutions to the equation s^2+0.2s+0.1=0 ?
The solutions to the equation s^2+0.2s+0.1=0 are s=-1/10+i 3/10 ,s=-1/10-i 3/10
Find the zeros of s^2+0.2s+0.1=0
The zeros of s^2+0.2s+0.1=0 are s=-1/10+i 3/10 ,s=-1/10-i 3/10