What are the solutions to the equation (x^2+3x+9)=0 ?

The solutions to the equation (x^2+3x+9)=0 are x=-3/2+i(3sqrt(3))/2 ,x=-3/2-i(3sqrt(3))/2

Find the zeros of (x^2+3x+9)=0

The zeros of (x^2+3x+9)=0 are x=-3/2+i(3sqrt(3))/2 ,x=-3/2-i(3sqrt(3))/2

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(x^{2} + 3 x + 9) = 0

x = - \frac{3}{2} + i \frac{3 3}{2}, x = - \frac{3}{2} - i \frac{3 3}{2}

Solution steps

(x^{2} + 3 x + 9) = 0

Refine

x^{2} + 3 x + 9 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 1 \cdot 9}{2 \cdot 1}

Simplify

3^{2} - 4 \cdot 1 \cdot 9 : 33 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - \frac{3}{2} + i \frac{3 3}{2}, x = - \frac{3}{2} - i \frac{3 3}{2}

(q) = q^{2} + 50 q + 1000

p^{2} = 1

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

(2 x + 3)^{2} = 18

2 x^{2} + 12 = 30

What are the solutions to the equation (x^2+3x+9)=0 ?
The solutions to the equation (x^2+3x+9)=0 are x=-3/2+i(3sqrt(3))/2 ,x=-3/2-i(3sqrt(3))/2
Find the zeros of (x^2+3x+9)=0
The zeros of (x^2+3x+9)=0 are x=-3/2+i(3sqrt(3))/2 ,x=-3/2-i(3sqrt(3))/2