What are the solutions to the equation s^2+0.5s+4=0 ?

The solutions to the equation s^2+0.5s+4=0 are s=-1/4+i(3sqrt(7))/4 ,s=-1/4-i(3sqrt(7))/4

Find the zeros of s^2+0.5s+4=0

The zeros of s^2+0.5s+4=0 are s=-1/4+i(3sqrt(7))/4 ,s=-1/4-i(3sqrt(7))/4

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s^{2} + 0.5 s + 4 = 0

s = - \frac{1}{4} + i \frac{3 7}{4}, s = - \frac{1}{4} - i \frac{3 7}{4}

Solution steps

s^{2} + 0.5 s + 4 = 0

Multiply both sides by

10

10 s^{2} + 5 s + 40 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 10 \cdot 40}{2 \cdot 10}

Simplify

5^{2} - 4 \cdot 10 \cdot 40 : 157 i

s_{1, 2} = \frac{- 5 \pm 15 7 i}{2 \cdot 10}

Separate the solutions

s_{1} = \frac{- 5 + 15 7 i}{2 \cdot 10}, s_{2} = \frac{- 5 - 15 7 i}{2 \cdot 10}

s = \frac{- 5 + 15 7 i}{2 \cdot 10} : - \frac{1}{4} + i \frac{3 7}{4}

s = \frac{- 5 - 15 7 i}{2 \cdot 10} : - \frac{1}{4} - i \frac{3 7}{4}

The solutions to the quadratic equation are:

s = - \frac{1}{4} + i \frac{3 7}{4}, s = - \frac{1}{4} - i \frac{3 7}{4}

x^{2} - x + 1 = 0

n^{2} - 30 = - n

4 b^{2} - 5 b - 6 = - 2

- 6 x^{2} - 119 x - 875 = x - 5

x^{2} + 3 x + \frac{9}{4}

What are the solutions to the equation s^2+0.5s+4=0 ?
The solutions to the equation s^2+0.5s+4=0 are s=-1/4+i(3sqrt(7))/4 ,s=-1/4-i(3sqrt(7))/4
Find the zeros of s^2+0.5s+4=0
The zeros of s^2+0.5s+4=0 are s=-1/4+i(3sqrt(7))/4 ,s=-1/4-i(3sqrt(7))/4