What are the solutions to the equation s^2+6s+45=0 ?

The solutions to the equation s^2+6s+45=0 are s=-3+6i,s=-3-6i

Find the zeros of s^2+6s+45=0

The zeros of s^2+6s+45=0 are s=-3+6i,s=-3-6i

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s^{2} + 6 s + 45 = 0

s = - 3 + 6 i, s = - 3 - 6 i

Solution steps

s^{2} + 6 s + 45 = 0

Solve with the quadratic formula

s_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 \cdot 1 \cdot 45}{2 \cdot 1}

Simplify

6^{2} - 4 \cdot 1 \cdot 45 : 12 i

s_{1, 2} = \frac{- 6 \pm 12 i}{2 \cdot 1}

Separate the solutions

s_{1} = \frac{- 6 + 12 i}{2 \cdot 1}, s_{2} = \frac{- 6 - 12 i}{2 \cdot 1}

s = \frac{- 6 + 12 i}{2 \cdot 1} : - 3 + 6 i

s = \frac{- 6 - 12 i}{2 \cdot 1} : - 3 - 6 i

The solutions to the quadratic equation are:

s = - 3 + 6 i, s = - 3 - 6 i

x^{2} - 2 + 3 = 0

4 y^{2} + 9 y^{2} = 36

0 = 3 x^{2} + 6 x + 5

x^{2} + (1)^{2} = 4

5 z^{2} - 35 = 0

What are the solutions to the equation s^2+6s+45=0 ?
The solutions to the equation s^2+6s+45=0 are s=-3+6i,s=-3-6i
Find the zeros of s^2+6s+45=0
The zeros of s^2+6s+45=0 are s=-3+6i,s=-3-6i