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

The solutions to the equation 6x^2-6x-6=0 are x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

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

The zeros of 6x^2-6x-6=0 are x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2

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

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

Decimal

x = 1.61803 \dots, x = - 0.61803 \dots

Solution steps

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

Solve with the quadratic formula

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

(- 6)^{2} - 4 \cdot 6 (- 6) = 65

x_{1, 2} = \frac{- ( - 6 ) \pm 6 5}{2 \cdot 6}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 6 5}{2 \cdot 6}, x_{2} = \frac{- ( - 6 ) - 6 5}{2 \cdot 6}

x = \frac{- ( - 6 ) + 6 5}{2 \cdot 6} : \frac{1 + 5}{2}

x = \frac{- ( - 6 ) - 6 5}{2 \cdot 6} : \frac{1 - 5}{2}

The solutions to the quadratic equation are:

x = \frac{1 + 5}{2}, x = \frac{1 - 5}{2}

2 x^{2} - 5 x y - 25 y^{2}

- 3 x + 2 = x + 10

x^{2} + 7 x + 9 = 0

∣ 3 x - 2 ∣ = 6

m^{2} - 6 m + 8

What are the solutions to the equation 6x^2-6x-6=0 ?
The solutions to the equation 6x^2-6x-6=0 are x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2
Find the zeros of 6x^2-6x-6=0
The zeros of 6x^2-6x-6=0 are x=(1+sqrt(5))/2 ,x=(1-sqrt(5))/2