What are the solutions to the equation -3x^2-2x-1=0 ?

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

Find the zeros of -3x^2-2x-1=0

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

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- 3 x^{2} - 2 x - 1 = 0

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

Solution steps

- 3 x^{2} - 2 x - 1 = 0

Solve with the quadratic formula

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

Simplify

(- 2)^{2} - 4 (- 3) (- 1) : 22 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

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

x^{2} + a^{2} - b x + ab = 0

3 + 5 d = 4 d^{2}

(2 r - 5)^{2} = 0

21 k^{2} + 4 k = - 3 + 6 k + 9 k^{2}

3 a^{2} - 27 = 0

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