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

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

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

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

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complete the square

x^{2} - 4 x - 2

(x - 2)^{2} - 6

Solution steps

x^{2} - 4 x - 2

Write

x^{2} - 4 x - 2

in the form:

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

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

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

Simplify

(x - 2)^{2} - 6

x^{2} + \frac{1}{2} x = 0

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

- x = 2 - x^{2}

(z^{2} - 1) 3 = 1

3 n^{2} - 8 n + 4 = 0

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