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

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

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

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

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

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

Solution steps

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

Solve with the quadratic formula

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

Simplify

(- 6)^{2} - 4 \cdot 6 \cdot 6 : 63 i

x_{1, 2} = \frac{- ( - 6 ) \pm 6 3 i}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 6 3 i}{2 \cdot 6}, x_{2} = \frac{- ( - 6 ) - 6 3 i}{2 \cdot 6}

x = \frac{- ( - 6 ) + 6 3 i}{2 \cdot 6} : \frac{1}{2} + i \frac{3}{2}

x = \frac{- ( - 6 ) - 6 3 i}{2 \cdot 6} : \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}

x^{2} + 5 x = 24

- b^{2} + 3 b + 2 = 3

4 q^{2} + 8 q + 10 = 0

200 = \frac{1}{3} \cdot x^{2} \cdot 3.142 \cdot 12

3 x^{2} + 5 x = 10

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