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

The solutions to the equation (x^2+x+3)=0 are x=-1/2+i(sqrt(11))/2 ,x=-1/2-i(sqrt(11))/2

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

The zeros of (x^2+x+3)=0 are x=-1/2+i(sqrt(11))/2 ,x=-1/2-i(sqrt(11))/2

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

x = - \frac{1}{2} + i \frac{11}{2}, x = - \frac{1}{2} - i \frac{11}{2}

Solution steps

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

Refine

x^{2} + x + 3 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 3 : 11 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{11}{2}, x = - \frac{1}{2} - i \frac{11}{2}

x^{2} + 9 x + 20 = - 3 x

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

y^{2} + 4 k y + 5

x^{2} - 14 x = 49

3 x^{2} + 24 x + 40 = 0

What are the solutions to the equation (x^2+x+3)=0 ?
The solutions to the equation (x^2+x+3)=0 are x=-1/2+i(sqrt(11))/2 ,x=-1/2-i(sqrt(11))/2
Find the zeros of (x^2+x+3)=0
The zeros of (x^2+x+3)=0 are x=-1/2+i(sqrt(11))/2 ,x=-1/2-i(sqrt(11))/2