What are the solutions to the equation 3x^2+3x+6=0 ?

The solutions to the equation 3x^2+3x+6=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

Find the zeros of 3x^2+3x+6=0

The zeros of 3x^2+3x+6=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2

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

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 3 \pm 3 ^{2} - 4 \cdot 3 \cdot 6}{2 \cdot 3}

Simplify

3^{2} - 4 \cdot 3 \cdot 6 : 37 i

x_{1, 2} = \frac{- 3 \pm 3 7 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 3 + 3 7 i}{2 \cdot 3}, x_{2} = \frac{- 3 - 3 7 i}{2 \cdot 3}

x = \frac{- 3 + 3 7 i}{2 \cdot 3} : - \frac{1}{2} + i \frac{7}{2}

x = \frac{- 3 - 3 7 i}{2 \cdot 3} : - \frac{1}{2} - i \frac{7}{2}

The solutions to the quadratic equation are:

x = - \frac{1}{2} + i \frac{7}{2}, x = - \frac{1}{2} - i \frac{7}{2}

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

x, x^{2} - 6 x y + 9 y^{2} - 40 x - 80 y = 0

v^{2} - 10 v + 21 = 0

x^{2} + 10 x + 24

36 x^{2} - 24 = 0

What are the solutions to the equation 3x^2+3x+6=0 ?
The solutions to the equation 3x^2+3x+6=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2
Find the zeros of 3x^2+3x+6=0
The zeros of 3x^2+3x+6=0 are x=-1/2+i(sqrt(7))/2 ,x=-1/2-i(sqrt(7))/2