What are the solutions to the equation m^2+m+1=0 ?

The solutions to the equation m^2+m+1=0 are m=-1/2+i(sqrt(3))/2 ,m=-1/2-i(sqrt(3))/2

Find the zeros of m^2+m+1=0

The zeros of m^2+m+1=0 are m=-1/2+i(sqrt(3))/2 ,m=-1/2-i(sqrt(3))/2

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m^{2} + m + 1 = 0

m = - \frac{1}{2} + i \frac{3}{2}, m = - \frac{1}{2} - i \frac{3}{2}

Solution steps

m^{2} + m + 1 = 0

Solve with the quadratic formula

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

Simplify

1^{2} - 4 \cdot 1 \cdot 1 : 3 i

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

Separate the solutions

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

m = \frac{- 1 + 3 i}{2 \cdot 1} : - \frac{1}{2} + i \frac{3}{2}

m = \frac{- 1 - 3 i}{2 \cdot 1} : - \frac{1}{2} - i \frac{3}{2}

The solutions to the quadratic equation are:

m = - \frac{1}{2} + i \frac{3}{2}, m = - \frac{1}{2} - i \frac{3}{2}

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What are the solutions to the equation m^2+m+1=0 ?
The solutions to the equation m^2+m+1=0 are m=-1/2+i(sqrt(3))/2 ,m=-1/2-i(sqrt(3))/2
Find the zeros of m^2+m+1=0
The zeros of m^2+m+1=0 are m=-1/2+i(sqrt(3))/2 ,m=-1/2-i(sqrt(3))/2