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+10

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

The zeros of completesquare-x^2+4x+6 are -(x-2)^2+10

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complete the square

- x^{2} + 4 x + 6

- (x - 2)^{2} + 10

Solution steps

- x^{2} + 4 x + 6

Write

- x^{2} + 4 x + 6

in the form:

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

Factor out

- 1

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

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} + 10

x^{2} - 2 x + 193 = 0

8 (x^{2} + 4) - 2 x - 2 = 2 x^{2} - 5 x + 30

x \cdot x + 4 = x + 2 \cdot x + 1

x^{2} - 2 x - 35 = 0

25 x^{2} + 9 x^{2} = 225

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+10
Find the zeros of completesquare-x^2+4x+6
The zeros of completesquare-x^2+4x+6 are -(x-2)^2+10