What are the solutions to the equation 5s^2+10s+500=0 ?

The solutions to the equation 5s^2+10s+500=0 are s=-1+3sqrt(11)i,s=-1-3sqrt(11)i

Find the zeros of 5s^2+10s+500=0

The zeros of 5s^2+10s+500=0 are s=-1+3sqrt(11)i,s=-1-3sqrt(11)i

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5 s^{2} + 10 s + 500 = 0

s = - 1 + 311 i, s = - 1 - 311 i

Solution steps

5 s^{2} + 10 s + 500 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 10 \pm 1 0 ^{2} - 4 \cdot 5 \cdot 500}{2 \cdot 5}

Simplify

1 0^{2} - 4 \cdot 5 \cdot 500 : 3011 i

s_{1, 2} = \frac{- 10 \pm 30 11 i}{2 \cdot 5}

Separate the solutions

s_{1} = \frac{- 10 + 30 11 i}{2 \cdot 5}, s_{2} = \frac{- 10 - 30 11 i}{2 \cdot 5}

s = \frac{- 10 + 30 11 i}{2 \cdot 5} : - 1 + 311 i

s = \frac{- 10 - 30 11 i}{2 \cdot 5} : - 1 - 311 i

The solutions to the quadratic equation are:

s = - 1 + 311 i, s = - 1 - 311 i

x^{2} + 0.1 x - 0.2 = 0

\frac{25 !}{( 25 - 6 ) !}

98 - t^{2} = 0

(- 5 x^{4} y^{2})^{3}

\frac{d}{2} + 5 = 4 d + 2

What are the solutions to the equation 5s^2+10s+500=0 ?
The solutions to the equation 5s^2+10s+500=0 are s=-1+3sqrt(11)i,s=-1-3sqrt(11)i
Find the zeros of 5s^2+10s+500=0
The zeros of 5s^2+10s+500=0 are s=-1+3sqrt(11)i,s=-1-3sqrt(11)i