What are the solutions to the equation -3x^2+2x-7=0 ?

The solutions to the equation -3x^2+2x-7=0 are x= 1/3-i(2sqrt(5))/3 ,x= 1/3+i(2sqrt(5))/3

Find the zeros of -3x^2+2x-7=0

The zeros of -3x^2+2x-7=0 are x= 1/3-i(2sqrt(5))/3 ,x= 1/3+i(2sqrt(5))/3

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- 3 x^{2} + 2 x - 7 = 0

x = \frac{1}{3} - i \frac{2 5}{3}, x = \frac{1}{3} + i \frac{2 5}{3}

Solution steps

- 3 x^{2} + 2 x - 7 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 ( - 3 ) ( - 7 )}{2 ( - 3 )}

Simplify

2^{2} - 4 (- 3) (- 7) : 45 i

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

Separate the solutions

x_{1} = \frac{- 2 + 4 5 i}{2 ( - 3 )}, x_{2} = \frac{- 2 - 4 5 i}{2 ( - 3 )}

x = \frac{- 2 + 4 5 i}{2 ( - 3 )} : \frac{1}{3} - i \frac{2 5}{3}

x = \frac{- 2 - 4 5 i}{2 ( - 3 )} : \frac{1}{3} + i \frac{2 5}{3}

The solutions to the quadratic equation are:

x = \frac{1}{3} - i \frac{2 5}{3}, x = \frac{1}{3} + i \frac{2 5}{3}

a, (x^{2} + y^{2})^{2} = 2 a^{2} x y

x^{2} + 28 x = 0

3 x^{2} + 10 + 15 x + 20 = 180

3 x^{2} - 5 x - 13 = 0

x, z = x^{2} - 4 x y - 2 y^{2} + 12 x - 12 y - 1

What are the solutions to the equation -3x^2+2x-7=0 ?
The solutions to the equation -3x^2+2x-7=0 are x= 1/3-i(2sqrt(5))/3 ,x= 1/3+i(2sqrt(5))/3
Find the zeros of -3x^2+2x-7=0
The zeros of -3x^2+2x-7=0 are x= 1/3-i(2sqrt(5))/3 ,x= 1/3+i(2sqrt(5))/3