What are the solutions to the equation 5x^2+2x+6=0 ?

The solutions to the equation 5x^2+2x+6=0 are x=-1/5+i(sqrt(29))/5 ,x=-1/5-i(sqrt(29))/5

Find the zeros of 5x^2+2x+6=0

The zeros of 5x^2+2x+6=0 are x=-1/5+i(sqrt(29))/5 ,x=-1/5-i(sqrt(29))/5

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5 x^{2} + 2 x + 6 = 0

x = - \frac{1}{5} + i \frac{29}{5}, x = - \frac{1}{5} - i \frac{29}{5}

Solution steps

5 x^{2} + 2 x + 6 = 0

Solve with the quadratic formula

x_{1, 2} = \frac{- 2 \pm 2 ^{2} - 4 \cdot 5 \cdot 6}{2 \cdot 5}

Simplify

2^{2} - 4 \cdot 5 \cdot 6 : 229 i

x_{1, 2} = \frac{- 2 \pm 2 29 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 2 + 2 29 i}{2 \cdot 5}, x_{2} = \frac{- 2 - 2 29 i}{2 \cdot 5}

x = \frac{- 2 + 2 29 i}{2 \cdot 5} : - \frac{1}{5} + i \frac{29}{5}

x = \frac{- 2 - 2 29 i}{2 \cdot 5} : - \frac{1}{5} - i \frac{29}{5}

The solutions to the quadratic equation are:

x = - \frac{1}{5} + i \frac{29}{5}, x = - \frac{1}{5} - i \frac{29}{5}

x, y^{2} = 12 x^{2}

6 x - 2 x^{2} = 10

225 x^{2} - 16 = 33

x^{2} + 5 x = 14

x^{2} - x + 18 = - 8 x + 8

What are the solutions to the equation 5x^2+2x+6=0 ?
The solutions to the equation 5x^2+2x+6=0 are x=-1/5+i(sqrt(29))/5 ,x=-1/5-i(sqrt(29))/5
Find the zeros of 5x^2+2x+6=0
The zeros of 5x^2+2x+6=0 are x=-1/5+i(sqrt(29))/5 ,x=-1/5-i(sqrt(29))/5