What are the solutions to the equation s^2+5s+100=0 ?

The solutions to the equation s^2+5s+100=0 are s=-5/2+i(5sqrt(15))/2 ,s=-5/2-i(5sqrt(15))/2

Find the zeros of s^2+5s+100=0

The zeros of s^2+5s+100=0 are s=-5/2+i(5sqrt(15))/2 ,s=-5/2-i(5sqrt(15))/2

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s^{2} + 5 s + 100 = 0

s = - \frac{5}{2} + i \frac{5 15}{2}, s = - \frac{5}{2} - i \frac{5 15}{2}

Solution steps

s^{2} + 5 s + 100 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 100}{2 \cdot 1}

Simplify

5^{2} - 4 \cdot 1 \cdot 100 : 515 i

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

Separate the solutions

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

s = \frac{- 5 + 5 15 i}{2 \cdot 1} : - \frac{5}{2} + i \frac{5 15}{2}

s = \frac{- 5 - 5 15 i}{2 \cdot 1} : - \frac{5}{2} - i \frac{5 15}{2}

The solutions to the quadratic equation are:

s = - \frac{5}{2} + i \frac{5 15}{2}, s = - \frac{5}{2} - i \frac{5 15}{2}

∣ 2 - 3 x ∣ > 1

275

2 x^{2} + 4 x - 48 = 0

x^{2} + 3 x - \frac{7}{4} = 0

(x - 8)^{2} = 48

What are the solutions to the equation s^2+5s+100=0 ?
The solutions to the equation s^2+5s+100=0 are s=-5/2+i(5sqrt(15))/2 ,s=-5/2-i(5sqrt(15))/2
Find the zeros of s^2+5s+100=0
The zeros of s^2+5s+100=0 are s=-5/2+i(5sqrt(15))/2 ,s=-5/2-i(5sqrt(15))/2