What are the solutions to the equation 2m^2+14+8m=0 ?

The solutions to the equation 2m^2+14+8m=0 are m=-2+sqrt(3)i,m=-2-sqrt(3)i

Find the zeros of 2m^2+14+8m=0

The zeros of 2m^2+14+8m=0 are m=-2+sqrt(3)i,m=-2-sqrt(3)i

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2 m^{2} + 14 + 8 m = 0

m = - 2 + 3 i, m = - 2 - 3 i

Solution steps

2 m^{2} + 14 + 8 m = 0

Write in the standard form

a x^{2} + b x + c = 0

2 m^{2} + 8 m + 14 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- 8 \pm 8 ^{2} - 4 \cdot 2 \cdot 14}{2 \cdot 2}

Simplify

8^{2} - 4 \cdot 2 \cdot 14 : 43 i

m_{1, 2} = \frac{- 8 \pm 4 3 i}{2 \cdot 2}

Separate the solutions

m_{1} = \frac{- 8 + 4 3 i}{2 \cdot 2}, m_{2} = \frac{- 8 - 4 3 i}{2 \cdot 2}

m = \frac{- 8 + 4 3 i}{2 \cdot 2} : - 2 + 3 i

m = \frac{- 8 - 4 3 i}{2 \cdot 2} : - 2 - 3 i

The solutions to the quadratic equation are:

m = - 2 + 3 i, m = - 2 - 3 i

- x^{2} + 9 x - 16 = 0

3 (2 x^{2} + 7) = - 87

y^{2} - 7 y = 0

d^{2} - 5 d - 14 = 0

x^{2} - 6 x + 16

What are the solutions to the equation 2m^2+14+8m=0 ?
The solutions to the equation 2m^2+14+8m=0 are m=-2+sqrt(3)i,m=-2-sqrt(3)i
Find the zeros of 2m^2+14+8m=0
The zeros of 2m^2+14+8m=0 are m=-2+sqrt(3)i,m=-2-sqrt(3)i