What are the solutions to the equation completesquare x^2-2x+3=0 ?

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

Find the zeros of completesquare x^2-2x+3=0

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

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

x = 2 i + 1, x = - 2 i + 1

Solution steps

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

Move

3

to the right side

x^{2} - 2 x = - 3

Rewrite in the form

(x + a)^{2} = b

(x - 1)^{2} = - 2

For

the solutions are

f (x) = a, - a

Solve

x - 1 = - 2 : x = 2 i + 1

Solve

x - 1 = - - 2 : x = - 2 i + 1

The solutions to the quadratic equation are:

x = 2 i + 1, x = - 2 i + 1

x^{2} - \frac{4}{3} x + \frac{1}{3} = 0

2^{2} + 6^{2} = x^{2}

4 x^{2} - 3 x - 6 = 0

- 4 x^{2} - 48 x - 208 = 0

x, 3 x^{2} = 27

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