What are the solutions to the equation s^2+3s+16=0 ?

The solutions to the equation s^2+3s+16=0 are s=-3/2+i(sqrt(55))/2 ,s=-3/2-i(sqrt(55))/2

Find the zeros of s^2+3s+16=0

The zeros of s^2+3s+16=0 are s=-3/2+i(sqrt(55))/2 ,s=-3/2-i(sqrt(55))/2

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s^{2} + 3 s + 16 = 0

s = - \frac{3}{2} + i \frac{55}{2}, s = - \frac{3}{2} - i \frac{55}{2}

Solution steps

s^{2} + 3 s + 16 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 16}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 16 : 55 i

s_{1, 2} = \frac{- 3 \pm 55 i}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- 3 + 55 i}{2 \cdot 1}, s_{2} = \frac{- 3 - 55 i}{2 \cdot 1}

s = \frac{- 3 + 55 i}{2 \cdot 1} : - \frac{3}{2} + i \frac{55}{2}

s = \frac{- 3 - 55 i}{2 \cdot 1} : - \frac{3}{2} - i \frac{55}{2}

The solutions to the quadratic equation are:

s = - \frac{3}{2} + i \frac{55}{2}, s = - \frac{3}{2} - i \frac{55}{2}

x^{2} + 2 x + 21 = 0

\frac{x}{4} = 10

4 = 3 (2 x + 1) - 11

x^{2} - 8 x - 7 x = 4

3 x - 2 + 3 - 6 x = 2 - 2 x + 2

What are the solutions to the equation s^2+3s+16=0 ?
The solutions to the equation s^2+3s+16=0 are s=-3/2+i(sqrt(55))/2 ,s=-3/2-i(sqrt(55))/2
Find the zeros of s^2+3s+16=0
The zeros of s^2+3s+16=0 are s=-3/2+i(sqrt(55))/2 ,s=-3/2-i(sqrt(55))/2