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+sqrt(3),x=1-sqrt(3)

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

The zeros of 3x^2-6x-6=0 are x=1+sqrt(3),x=1-sqrt(3)

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

x = 1 + 3, x = 1 - 3

Decimal Notation

x = 2.73205 \dots, x = - 0.73205 \dots

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 ( - 6 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 6) = 63

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

x = 1 + 3, x = 1 - 3

\frac{1}{3} + \frac{3}{5}

\frac{2 + 3 i}{1 + 2 i} - \frac{8 + i}{6 - i}

\frac{2 x + 3}{4} - \frac{x - 7}{6} = \frac{2 x - 3}{12}

x 3 = 48

\frac{1}{2} (2) - 2

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+sqrt(3),x=1-sqrt(3)
Find the zeros of 3x^2-6x-6=0
The zeros of 3x^2-6x-6=0 are x=1+sqrt(3),x=1-sqrt(3)