What are the solutions to the equation 3m^2+5m+7=0 ?

The solutions to the equation 3m^2+5m+7=0 are m=-5/6+i(sqrt(59))/6 ,m=-5/6-i(sqrt(59))/6

Find the zeros of 3m^2+5m+7=0

The zeros of 3m^2+5m+7=0 are m=-5/6+i(sqrt(59))/6 ,m=-5/6-i(sqrt(59))/6

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3 m^{2} + 5 m + 7 = 0

m = - \frac{5}{6} + i \frac{59}{6}, m = - \frac{5}{6} - i \frac{59}{6}

Solution steps

3 m^{2} + 5 m + 7 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 5 \pm 5 ^{2} - 4 \cdot 3 \cdot 7}{2 \cdot 3}

Simplify

5^{2} - 4 \cdot 3 \cdot 7 : 59 i

m_{1, 2} = \frac{- 5 \pm 59 i}{2 \cdot 3}

Separate the solutions

m_{1} = \frac{- 5 + 59 i}{2 \cdot 3}, m_{2} = \frac{- 5 - 59 i}{2 \cdot 3}

m = \frac{- 5 + 59 i}{2 \cdot 3} : - \frac{5}{6} + i \frac{59}{6}

m = \frac{- 5 - 59 i}{2 \cdot 3} : - \frac{5}{6} - i \frac{59}{6}

The solutions to the quadratic equation are:

m = - \frac{5}{6} + i \frac{59}{6}, m = - \frac{5}{6} - i \frac{59}{6}

(x) = 2 x^{2} + 8 x + 11

- 5 = - \frac{1}{2} 9.8 x^{2} + 2 x

x, z^{2} = x^{2} y + 4.02

9 y^{2} = - 30 y - 25

x^{2} + 2 x - 76 = 4

What are the solutions to the equation 3m^2+5m+7=0 ?
The solutions to the equation 3m^2+5m+7=0 are m=-5/6+i(sqrt(59))/6 ,m=-5/6-i(sqrt(59))/6
Find the zeros of 3m^2+5m+7=0
The zeros of 3m^2+5m+7=0 are m=-5/6+i(sqrt(59))/6 ,m=-5/6-i(sqrt(59))/6