What are the solutions to the equation 4s^2+4s+5=0 ?

The solutions to the equation 4s^2+4s+5=0 are s=-1/2+i,s=-1/2-i

Find the zeros of 4s^2+4s+5=0

The zeros of 4s^2+4s+5=0 are s=-1/2+i,s=-1/2-i

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4 s^{2} + 4 s + 5 = 0

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

Solution steps

4 s^{2} + 4 s + 5 = 0

Solve with the quadratic formula

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

Simplify

4^{2} - 4 \cdot 4 \cdot 5 : 8 i

s_{1, 2} = \frac{- 4 \pm 8 i}{2 \cdot 4}

Separate the solutions

s_{1} = \frac{- 4 + 8 i}{2 \cdot 4}, s_{2} = \frac{- 4 - 8 i}{2 \cdot 4}

s = \frac{- 4 + 8 i}{2 \cdot 4} : - \frac{1}{2} + i

s = \frac{- 4 - 8 i}{2 \cdot 4} : - \frac{1}{2} - i

The solutions to the quadratic equation are:

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

0 = - 2.7 t^{2} + 30 t + 6.5

f^{2} + 7 f + 10 = 0

(- 5)^{2} + (2)^{2} = D^{2}

3 x (x + 2) = 6 (x - 3)

- 3 x^{2} - 48 x = 0

What are the solutions to the equation 4s^2+4s+5=0 ?
The solutions to the equation 4s^2+4s+5=0 are s=-1/2+i,s=-1/2-i
Find the zeros of 4s^2+4s+5=0
The zeros of 4s^2+4s+5=0 are s=-1/2+i,s=-1/2-i