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

The solutions to the equation completesquare-x^2+2x+4 are -(x-1)^2+5

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

The zeros of completesquare-x^2+2x+4 are -(x-1)^2+5

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complete the square

- x^{2} + 2 x + 4

- (x - 1)^{2} + 5

Solution steps

- x^{2} + 2 x + 4

Write

- x^{2} + 2 x + 4

in the form:

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

Factor out

- 1

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

- (x^{2} - 2 x - 4 + (- 1)^{2} - (- 1)^{2})

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

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

- ((x - 1)^{2} - 4 - (- 1)^{2})

Simplify

- (x - 1)^{2} + 5

2 x - 1 = - x^{2} + x + 3

25 x^{2} + 10 x = 0

4 x^{2} + 7 x - 8 = - 8 x - 4

2 (3 x + 4) = \frac{10 x + 30}{2} 210 x + 30

3 x^{2} + 12 x - 4 = 0

What are the solutions to the equation completesquare-x^2+2x+4 ?
The solutions to the equation completesquare-x^2+2x+4 are -(x-1)^2+5
Find the zeros of completesquare-x^2+2x+4
The zeros of completesquare-x^2+2x+4 are -(x-1)^2+5