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

The solutions to the equation 5x^2+x+6=0 are x=-1/10+i(sqrt(119))/(10),x=-1/10-i(sqrt(119))/(10)

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

The zeros of 5x^2+x+6=0 are x=-1/10+i(sqrt(119))/(10),x=-1/10-i(sqrt(119))/(10)

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

x = - \frac{1}{10} + i \frac{119}{10}, x = - \frac{1}{10} - i \frac{119}{10}

Solution steps

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

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 5 \cdot 6 : 119 i

x_{1, 2} = \frac{- 1 \pm 119 i}{2 \cdot 5}

Separate the solutions

x_{1} = \frac{- 1 + 119 i}{2 \cdot 5}, x_{2} = \frac{- 1 - 119 i}{2 \cdot 5}

x = \frac{- 1 + 119 i}{2 \cdot 5} : - \frac{1}{10} + i \frac{119}{10}

x = \frac{- 1 - 119 i}{2 \cdot 5} : - \frac{1}{10} - i \frac{119}{10}

The solutions to the quadratic equation are:

x = - \frac{1}{10} + i \frac{119}{10}, x = - \frac{1}{10} - i \frac{119}{10}

m^{2} - 8 m - 1008

6 x^{2} + 2 = 13 x

- x = 0.33 (1 + 9.68 x)

- 29

0 = 25 x^{2} + 3.185 x - 7.9625

What are the solutions to the equation 5x^2+x+6=0 ?
The solutions to the equation 5x^2+x+6=0 are x=-1/10+i(sqrt(119))/(10),x=-1/10-i(sqrt(119))/(10)
Find the zeros of 5x^2+x+6=0
The zeros of 5x^2+x+6=0 are x=-1/10+i(sqrt(119))/(10),x=-1/10-i(sqrt(119))/(10)