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

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

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

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

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complete the square

4 + 2 x - x^{2}

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

Solution steps

4 + 2 x - x^{2}

Write in the standard form

a x^{2} + b x + c

- 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

3 x^{2} - 2 x = 21

2 r^{2} - r - 11 = - 3

6 x^{2} = - 8 x - 7

(3 x - 3)^{2} - 36 = 0

5 w - w^{2} + 3 w = 8

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