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

The solutions to the equation -11x^2+6x-2=0 are x= 3/11-i(sqrt(13))/(11),x= 3/11+i(sqrt(13))/(11)

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

The zeros of -11x^2+6x-2=0 are x= 3/11-i(sqrt(13))/(11),x= 3/11+i(sqrt(13))/(11)

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

x = \frac{3}{11} - i \frac{13}{11}, x = \frac{3}{11} + i \frac{13}{11}

Solution steps

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

Solve with the quadratic formula

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

Simplify

6^{2} - 4 (- 11) (- 2) : 213 i

x_{1, 2} = \frac{- 6 \pm 2 13 i}{2 ( - 11 )}

Separate the solutions

x_{1} = \frac{- 6 + 2 13 i}{2 ( - 11 )}, x_{2} = \frac{- 6 - 2 13 i}{2 ( - 11 )}

x = \frac{- 6 + 2 13 i}{2 ( - 11 )} : \frac{3}{11} - i \frac{13}{11}

x = \frac{- 6 - 2 13 i}{2 ( - 11 )} : \frac{3}{11} + i \frac{13}{11}

The solutions to the quadratic equation are:

x = \frac{3}{11} - i \frac{13}{11}, x = \frac{3}{11} + i \frac{13}{11}

(x + 4)^{2} - 2 (x + 4) - 8 = 0

- 2 = 3 x^{2} + x - 2

15 x^{2} = 8 x - 1

5 y^{2} = 19 y + 4

10 x^{2} - 20 x = 19

What are the solutions to the equation -11x^2+6x-2=0 ?
The solutions to the equation -11x^2+6x-2=0 are x= 3/11-i(sqrt(13))/(11),x= 3/11+i(sqrt(13))/(11)
Find the zeros of -11x^2+6x-2=0
The zeros of -11x^2+6x-2=0 are x= 3/11-i(sqrt(13))/(11),x= 3/11+i(sqrt(13))/(11)