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

The solutions to the equation s^2+s+4=0 are s=-1/2+i(sqrt(15))/2 ,s=-1/2-i(sqrt(15))/2

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

The zeros of s^2+s+4=0 are s=-1/2+i(sqrt(15))/2 ,s=-1/2-i(sqrt(15))/2

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s^{2} + s + 4 = 0

s = - \frac{1}{2} + i \frac{15}{2}, s = - \frac{1}{2} - i \frac{15}{2}

Solution steps

s^{2} + s + 4 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 4 : 15 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

s = - \frac{1}{2} + i \frac{15}{2}, s = - \frac{1}{2} - i \frac{15}{2}

3 x^{2} + 10 x - 17 = - 9

x^{2} + 4 x - 72 = 5 x

v^{2} + 8 v + 16 = 0

7 w^{2} = 448

x^{2} - 51 = 14 x

What are the solutions to the equation s^2+s+4=0 ?
The solutions to the equation s^2+s+4=0 are s=-1/2+i(sqrt(15))/2 ,s=-1/2-i(sqrt(15))/2
Find the zeros of s^2+s+4=0
The zeros of s^2+s+4=0 are s=-1/2+i(sqrt(15))/2 ,s=-1/2-i(sqrt(15))/2