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

The solutions to the equation 3x^2+2x+5=0 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3

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

The zeros of 3x^2+2x+5=0 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3

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

x = - \frac{1}{3} + i \frac{14}{3}, x = - \frac{1}{3} - i \frac{14}{3}

Solution steps

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

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 3 \cdot 5}{2 \cdot 3}

Simplify

2^{2} - 4 \cdot 3 \cdot 5 : 214 i

x_{1, 2} = \frac{- 2 \pm 2 14 i}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- 2 + 2 14 i}{2 \cdot 3}, x_{2} = \frac{- 2 - 2 14 i}{2 \cdot 3}

x = \frac{- 2 + 2 14 i}{2 \cdot 3} : - \frac{1}{3} + i \frac{14}{3}

x = \frac{- 2 - 2 14 i}{2 \cdot 3} : - \frac{1}{3} - i \frac{14}{3}

The solutions to the quadratic equation are:

x = - \frac{1}{3} + i \frac{14}{3}, x = - \frac{1}{3} - i \frac{14}{3}

4 x^{3} - 4 y^{3}

11 n^{2} - 5 n^{3}

2 x^{2} - 80 = 0

(x - 3) (x - 4)^{2} < 0

3^{3} \cdot 3^{- 5}

What are the solutions to the equation 3x^2+2x+5=0 ?
The solutions to the equation 3x^2+2x+5=0 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3
Find the zeros of 3x^2+2x+5=0
The zeros of 3x^2+2x+5=0 are x=-1/3+i(sqrt(14))/3 ,x=-1/3-i(sqrt(14))/3