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

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

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

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

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

m = 1 + i, m = 1 - i

Solution steps

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

Solve with the quadratic formula

m_{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

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

m = 1 + i, m = 1 - i

X^{2} - X - 6 = 9

x^{2} - \frac{5}{6} x = \frac{25}{6}

4 x^{2} - 2 x + \frac{1}{4} = 0

(2 x - 1) (3 x + 4) = 0

28 y + 4 = 3 y^{2}

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