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

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

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

The zeros of -2m^2+2m-1=0 are m= 1/2-i 1/2 ,m= 1/2+i 1/2

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- 2 m^{2} + 2 m - 1 = 0

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

Solution steps

- 2 m^{2} + 2 m - 1 = 0

Solve with the quadratic formula

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

Simplify

2^{2} - 4 (- 2) (- 1) : 2 i

m_{1, 2} = \frac{- 2 \pm 2 i}{2 ( - 2 )}

Separate the solutions

m_{1} = \frac{- 2 + 2 i}{2 ( - 2 )}, m_{2} = \frac{- 2 - 2 i}{2 ( - 2 )}

m = \frac{- 2 + 2 i}{2 ( - 2 )} : \frac{1}{2} - i \frac{1}{2}

m = \frac{- 2 - 2 i}{2 ( - 2 )} : \frac{1}{2} + i \frac{1}{2}

The solutions to the quadratic equation are:

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

4 x^{2} - 6 x + 11 = 0

4 y^{2} + 19 y + 12 = 0

2 x - 1 = x^{2} - 2 x + 1

(x + a)^{2} = 0

(2 x + 1) (3 x - 1) = 6

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