What are the solutions to the equation s^2+5s+9=0 ?

The solutions to the equation s^2+5s+9=0 are s=-5/2+i(sqrt(11))/2 ,s=-5/2-i(sqrt(11))/2

Find the zeros of s^2+5s+9=0

The zeros of s^2+5s+9=0 are s=-5/2+i(sqrt(11))/2 ,s=-5/2-i(sqrt(11))/2

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s^{2} + 5 s + 9 = 0

s = - \frac{5}{2} + i \frac{11}{2}, s = - \frac{5}{2} - i \frac{11}{2}

Solution steps

s^{2} + 5 s + 9 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

Simplify

5^{2} - 4 \cdot 1 \cdot 9 : 11 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

s = - \frac{5}{2} + i \frac{11}{2}, s = - \frac{5}{2} - i \frac{11}{2}

x^{2} + 2 x - 1 = 0

3 x^{2} + 11 x = 42

3 x^{2} - 3 x = 1

- 2 x^{2} - x + 12 = - 3 x^{2} + 6 x

x^{2} - 32 x + 240 = 0

What are the solutions to the equation s^2+5s+9=0 ?
The solutions to the equation s^2+5s+9=0 are s=-5/2+i(sqrt(11))/2 ,s=-5/2-i(sqrt(11))/2
Find the zeros of s^2+5s+9=0
The zeros of s^2+5s+9=0 are s=-5/2+i(sqrt(11))/2 ,s=-5/2-i(sqrt(11))/2