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}

Factor out

- 1

- (x^{2} - 4 x - 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

lo g_{3} (2) x^{2} = lo g_{3} (72)

2 x^{2} + 24 x - 60 = x (x + 13)

x, x^{2} - 6 x = y^{2} - 6 y

5 x^{2} + 4 = 1129

(x + 1) (x - 1) = 1

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