What are the solutions to the equation completesquare 2x-x^2+3 ?

The solutions to the equation completesquare 2x-x^2+3 are -(x-1)^2+4

Find the zeros of completesquare 2x-x^2+3

The zeros of completesquare 2x-x^2+3 are -(x-1)^2+4

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complete the square

2 x - x^{2} + 3

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

Solution steps

2 x - x^{2} + 3

Write in the standard form

a x^{2} + b x + c

- x^{2} + 2 x + 3

Write

- x^{2} + 2 x + 3

in the form:

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

Factor out

- 1

- (x^{2} - 2 x - 3)

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

- (x^{2} - 2 x - 3 + (- 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} - 3 - (- 1)^{2})

Simplify

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

v^{2} = 361

10 x^{2} = 9 x

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

6 x^{2} - x = 0

a, x^{2} + y^{2} + z^{2} = a^{2}

What are the solutions to the equation completesquare 2x-x^2+3 ?
The solutions to the equation completesquare 2x-x^2+3 are -(x-1)^2+4
Find the zeros of completesquare 2x-x^2+3
The zeros of completesquare 2x-x^2+3 are -(x-1)^2+4