What are the solutions to the equation 9m^2-12m-2=0 ?

The solutions to the equation 9m^2-12m-2=0 are m=(2+sqrt(6))/3 ,m=(2-sqrt(6))/3

Find the zeros of 9m^2-12m-2=0

The zeros of 9m^2-12m-2=0 are m=(2+sqrt(6))/3 ,m=(2-sqrt(6))/3

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9 m^{2} - 12 m - 2 = 0

m = \frac{2 + 6}{3}, m = \frac{2 - 6}{3}

Decimal Notation

m = 1.48316 \dots, m = - 0.14982 \dots

Solution steps

9 m^{2} - 12 m - 2 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 9 ( - 2 )}{2 \cdot 9}

(- 12)^{2} - 4 \cdot 9 (- 2) = 66

m_{1, 2} = \frac{- ( - 12 ) \pm 6 6}{2 \cdot 9}

Separate the solutions

m_{1} = \frac{- ( - 12 ) + 6 6}{2 \cdot 9}, m_{2} = \frac{- ( - 12 ) - 6 6}{2 \cdot 9}

m = \frac{- ( - 12 ) + 6 6}{2 \cdot 9} : \frac{2 + 6}{3}

m = \frac{- ( - 12 ) - 6 6}{2 \cdot 9} : \frac{2 - 6}{3}

The solutions to the quadratic equation are:

m = \frac{2 + 6}{3}, m = \frac{2 - 6}{3}

6^{2} + b^{2} = 1 1^{2}

- 6 x^{2} + x + 35 = 0

7 x^{2} - x - 66 = 0

400 - x^{2} = \frac{x}{60} + 5

s^{2} + 2 s + 6 = 0

What are the solutions to the equation 9m^2-12m-2=0 ?
The solutions to the equation 9m^2-12m-2=0 are m=(2+sqrt(6))/3 ,m=(2-sqrt(6))/3
Find the zeros of 9m^2-12m-2=0
The zeros of 9m^2-12m-2=0 are m=(2+sqrt(6))/3 ,m=(2-sqrt(6))/3