What are the solutions to the equation completesquare x^2-4x+6 ?

The solutions to the equation completesquare x^2-4x+6 are (x-2)^2+2

Find the zeros of completesquare x^2-4x+6

The zeros of completesquare x^2-4x+6 are (x-2)^2+2

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complete the square

x^{2} - 4 x + 6

(x - 2)^{2} + 2

Solution steps

x^{2} - 4 x + 6

Write

x^{2} - 4 x + 6

in the form:

x^{2} + 2 a x + a^{2}

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

x^{2} - 4 x + 6 + (- 2)^{2} - (- 2)^{2}

x^{2} + 2 a x + a^{2} = (x + a)^{2}

x^{2} - 4 x + (- 2)^{2} = (x - 2)^{2}

(x - 2)^{2} + 6 - (- 2)^{2}

Simplify

(x - 2)^{2} + 2

- x^{2} + 12 x - 27 = 0

0 = z^{2} - 10 z + 25

4 m^{2} + 2 m - 19 = 3 m^{2}

- 3 x^{2} + 2 x + 5 = 0

2 x^{2} + 8 x + 5

What are the solutions to the equation completesquare x^2-4x+6 ?
The solutions to the equation completesquare x^2-4x+6 are (x-2)^2+2
Find the zeros of completesquare x^2-4x+6
The zeros of completesquare x^2-4x+6 are (x-2)^2+2