What are the solutions to the equation 9m^2+m+6=0 ?

The solutions to the equation 9m^2+m+6=0 are m=-1/18+i(sqrt(215))/(18),m=-1/18-i(sqrt(215))/(18)

Find the zeros of 9m^2+m+6=0

The zeros of 9m^2+m+6=0 are m=-1/18+i(sqrt(215))/(18),m=-1/18-i(sqrt(215))/(18)

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9 m^{2} + m + 6 = 0

m = - \frac{1}{18} + i \frac{215}{18}, m = - \frac{1}{18} - i \frac{215}{18}

Solution steps

9 m^{2} + m + 6 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 1 \pm 1 ^{2} - 4 \cdot 9 \cdot 6}{2 \cdot 9}

Simplify

1^{2} - 4 \cdot 9 \cdot 6 : 215 i

m_{1, 2} = \frac{- 1 \pm 215 i}{2 \cdot 9}

Separate the solutions

m_{1} = \frac{- 1 + 215 i}{2 \cdot 9}, m_{2} = \frac{- 1 - 215 i}{2 \cdot 9}

m = \frac{- 1 + 215 i}{2 \cdot 9} : - \frac{1}{18} + i \frac{215}{18}

m = \frac{- 1 - 215 i}{2 \cdot 9} : - \frac{1}{18} - i \frac{215}{18}

The solutions to the quadratic equation are:

m = - \frac{1}{18} + i \frac{215}{18}, m = - \frac{1}{18} - i \frac{215}{18}

8 x^{2} + 18 x - 5 = 0

16 x^{2} + 16 x - 5 = 0

4 x (5 x - 6) = 0

16 x^{2} + 6 x + 7 = 0

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

What are the solutions to the equation 9m^2+m+6=0 ?
The solutions to the equation 9m^2+m+6=0 are m=-1/18+i(sqrt(215))/(18),m=-1/18-i(sqrt(215))/(18)
Find the zeros of 9m^2+m+6=0
The zeros of 9m^2+m+6=0 are m=-1/18+i(sqrt(215))/(18),m=-1/18-i(sqrt(215))/(18)