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

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

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

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

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

x = 1 + i, x = 1 - i

Solution steps

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

Solve with the quadratic formula

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

Simplify

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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1 + i, x = 1 - i

\frac{3}{5} = 4 m

x^{2} - 8 x + 60 = 0

\frac{1}{6} - \frac{1}{2}

\frac{1}{2} + \frac{1}{2}

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

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