What are the solutions to the equation 3x^2-6x-22=0 ?

The solutions to the equation 3x^2-6x-22=0 are x=(3+5sqrt(3))/3 ,x=(3-5sqrt(3))/3

Find the zeros of 3x^2-6x-22=0

The zeros of 3x^2-6x-22=0 are x=(3+5sqrt(3))/3 ,x=(3-5sqrt(3))/3

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3 x^{2} - 6 x - 22 = 0

x = \frac{3 + 5 3}{3}, x = \frac{3 - 5 3}{3}

Solution steps

3 x^{2} - 6 x - 22 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 6 ) \pm ( - 6 ) ^{2} - 4 \cdot 3 ( - 22 )}{2 \cdot 3}

(- 6)^{2} - 4 \cdot 3 (- 22) = 103

x_{1, 2} = \frac{- ( - 6 ) \pm 10 3}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 6 ) + 10 3}{2 \cdot 3}, x_{2} = \frac{- ( - 6 ) - 10 3}{2 \cdot 3}

x = \frac{- ( - 6 ) + 10 3}{2 \cdot 3} : \frac{3 + 5 3}{3}

x = \frac{- ( - 6 ) - 10 3}{2 \cdot 3} : \frac{3 - 5 3}{3}

The solutions to the quadratic equation are:

x = \frac{3 + 5 3}{3}, x = \frac{3 - 5 3}{3}

(x + 8) (x - 5) = 0

- 2 x^{2} + 4 x - 9 = 0

2 x^{2} = 9 x + 18

x^{2} - 6 x + 9 = 8

(x + 5)^{2} + (x - 8)^{2} = 25

What are the solutions to the equation 3x^2-6x-22=0 ?
The solutions to the equation 3x^2-6x-22=0 are x=(3+5sqrt(3))/3 ,x=(3-5sqrt(3))/3
Find the zeros of 3x^2-6x-22=0
The zeros of 3x^2-6x-22=0 are x=(3+5sqrt(3))/3 ,x=(3-5sqrt(3))/3