What are the solutions to the equation roots m^2-2m+3 ?

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

Find the zeros of roots m^2-2m+3

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

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roots

m^{2} - 2 m + 3

m = 1 + 2 i, m = 1 - 2 i

Solution steps

m^{2} - 2 m + 3

The roots are the intercepts with the x-axis

(y = 0)

m^{2} - 2 m + 3 = 0

Solve with the quadratic formula

m_{1, 2} = \frac{- ( - 2 ) \pm ( - 2 ) ^{2} - 4 \cdot 1 \cdot 3}{2 \cdot 1}

Simplify

(- 2)^{2} - 4 \cdot 1 \cdot 3 : 22 i

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

Separate the solutions

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

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

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

The solutions to the quadratic equation are:

m = 1 + 2 i, m = 1 - 2 i

x^{2} + 4 x = - 5

4 t^{2} - 9 t + 2 = 0

a, (a + b)^{3} = a^{3} + b^{3}

x, x^{2} - 5 k x - 50 k^{2} = 0

(m - 2) x^{2} - 2 m x + 3 m = 0

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