What are the solutions to the equation -3x^2+6x-11=0 ?

The solutions to the equation -3x^2+6x-11=0 are x=1-i(2sqrt(6))/3 ,x=1+i(2sqrt(6))/3

Find the zeros of -3x^2+6x-11=0

The zeros of -3x^2+6x-11=0 are x=1-i(2sqrt(6))/3 ,x=1+i(2sqrt(6))/3

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- 3 x^{2} + 6 x - 11 = 0

x = 1 - i \frac{2 6}{3}, x = 1 + i \frac{2 6}{3}

Solution steps

- 3 x^{2} + 6 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 6 \pm 6 ^{2} - 4 ( - 3 ) ( - 11 )}{2 ( - 3 )}

Simplify

6^{2} - 4 (- 3) (- 11) : 46 i

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

Separate the solutions

x_{1} = \frac{- 6 + 4 6 i}{2 ( - 3 )}, x_{2} = \frac{- 6 - 4 6 i}{2 ( - 3 )}

x = \frac{- 6 + 4 6 i}{2 ( - 3 )} : 1 - i \frac{2 6}{3}

x = \frac{- 6 - 4 6 i}{2 ( - 3 )} : 1 + i \frac{2 6}{3}

The solutions to the quadratic equation are:

x = 1 - i \frac{2 6}{3}, x = 1 + i \frac{2 6}{3}

t^{2} + 5 t - s t - 5 s

2 x^{2} + 6 x - 1 = 0

\frac{2 k ^{2} - k - 15}{k ^{2} - 9}

x - 3 = - 5

d + 12 < 19

What are the solutions to the equation -3x^2+6x-11=0 ?
The solutions to the equation -3x^2+6x-11=0 are x=1-i(2sqrt(6))/3 ,x=1+i(2sqrt(6))/3
Find the zeros of -3x^2+6x-11=0
The zeros of -3x^2+6x-11=0 are x=1-i(2sqrt(6))/3 ,x=1+i(2sqrt(6))/3