What are the solutions to the equation -3x^2+5x-11=0 ?

The solutions to the equation -3x^2+5x-11=0 are x= 5/6-i(sqrt(107))/6 ,x= 5/6+i(sqrt(107))/6

Find the zeros of -3x^2+5x-11=0

The zeros of -3x^2+5x-11=0 are x= 5/6-i(sqrt(107))/6 ,x= 5/6+i(sqrt(107))/6

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- 3 x^{2} + 5 x - 11 = 0

x = \frac{5}{6} - i \frac{107}{6}, x = \frac{5}{6} + i \frac{107}{6}

Solution steps

- 3 x^{2} + 5 x - 11 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 ( - 3 ) ( - 11 )}{2 ( - 3 )}

Simplify

5^{2} - 4 (- 3) (- 11) : 107 i

x_{1, 2} = \frac{- 5 \pm 107 i}{2 ( - 3 )}

Separate the solutions

x_{1} = \frac{- 5 + 107 i}{2 ( - 3 )}, x_{2} = \frac{- 5 - 107 i}{2 ( - 3 )}

x = \frac{- 5 + 107 i}{2 ( - 3 )} : \frac{5}{6} - i \frac{107}{6}

x = \frac{- 5 - 107 i}{2 ( - 3 )} : \frac{5}{6} + i \frac{107}{6}

The solutions to the quadratic equation are:

x = \frac{5}{6} - i \frac{107}{6}, x = \frac{5}{6} + i \frac{107}{6}

n^{2} + 11 n + 3 = - 4 n^{2}

20 - x^{2} = 10

x^{2} - 7 x + \frac{1}{4} = 0

x^{2} + 25 = - 24

3 (x - 2)^{2} = 27

What are the solutions to the equation -3x^2+5x-11=0 ?
The solutions to the equation -3x^2+5x-11=0 are x= 5/6-i(sqrt(107))/6 ,x= 5/6+i(sqrt(107))/6
Find the zeros of -3x^2+5x-11=0
The zeros of -3x^2+5x-11=0 are x= 5/6-i(sqrt(107))/6 ,x= 5/6+i(sqrt(107))/6