What are the solutions to the equation 6x^2-12x-2=0 ?

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

Find the zeros of 6x^2-12x-2=0

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

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6 x^{2} - 12 x - 2 = 0

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

Decimal Notation

x = 2.15470 \dots, x = - 0.15470 \dots

Solution steps

6 x^{2} - 12 x - 2 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 12 ) \pm ( - 12 ) ^{2} - 4 \cdot 6 ( - 2 )}{2 \cdot 6}

(- 12)^{2} - 4 \cdot 6 (- 2) = 83

x_{1, 2} = \frac{- ( - 12 ) \pm 8 3}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 12 ) + 8 3}{2 \cdot 6}, x_{2} = \frac{- ( - 12 ) - 8 3}{2 \cdot 6}

x = \frac{- ( - 12 ) + 8 3}{2 \cdot 6} : \frac{3 + 2 3}{3}

x = \frac{- ( - 12 ) - 8 3}{2 \cdot 6} : \frac{3 - 2 3}{3}

The solutions to the quadratic equation are:

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

- 4 x^{2} - 16 = 0

10 x^{2} + 15 x + 4 = 0

x, y = (x + 4)^{2}

9 w^{2} + 30 w = - 25

- 4.9 x^{2} + 4.3301200000000 \dots x - 0.8 = 0

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