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

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

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

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

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

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

Solution steps

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

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

\frac{x + 1}{9} - \frac{x - 1}{6} = 2 - \frac{x + 3}{2}

x + 9 = 2 x + 2

\frac{1}{16} + \frac{1}{16}

16 e^{- 0.2 (5)}

a^{2} - 17 a + 42 = 0

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