What are the solutions to the equation 3m^2-9m+9=2m ?

The solutions to the equation 3m^2-9m+9=2m are m=(11+sqrt(13))/6 ,m=(11-sqrt(13))/6

Find the zeros of 3m^2-9m+9=2m

The zeros of 3m^2-9m+9=2m are m=(11+sqrt(13))/6 ,m=(11-sqrt(13))/6

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3 m^{2} - 9 m + 9 = 2 m

m = \frac{11 + 13}{6}, m = \frac{11 - 13}{6}

Decimal Notation

m = 2.43425 \dots, m = 1.23240 \dots

Solution steps

3 m^{2} - 9 m + 9 = 2 m

Move

2 m

to the left side

3 m^{2} - 11 m + 9 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 11 ) \pm ( - 11 ) ^{2} - 4 \cdot 3 \cdot 9}{2 \cdot 3}

(- 11)^{2} - 4 \cdot 3 \cdot 9 = 13

m_{1, 2} = \frac{- ( - 11 ) \pm 13}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- ( - 11 ) + 13}{2 \cdot 3}, m_{2} = \frac{- ( - 11 ) - 13}{2 \cdot 3}

m = \frac{- ( - 11 ) + 13}{2 \cdot 3} : \frac{11 + 13}{6}

m = \frac{- ( - 11 ) - 13}{2 \cdot 3} : \frac{11 - 13}{6}

The solutions to the quadratic equation are:

m = \frac{11 + 13}{6}, m = \frac{11 - 13}{6}

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3 (x - 7)^{2} + 2 = 29

What are the solutions to the equation 3m^2-9m+9=2m ?
The solutions to the equation 3m^2-9m+9=2m are m=(11+sqrt(13))/6 ,m=(11-sqrt(13))/6
Find the zeros of 3m^2-9m+9=2m
The zeros of 3m^2-9m+9=2m are m=(11+sqrt(13))/6 ,m=(11-sqrt(13))/6