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

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

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

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

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complete the square

3 - x^{2} + 2 x

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

Solution steps

3 - x^{2} + 2 x

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

0 = x (x - 4)

x^{2} = \frac{9}{256}

x^{2} - 21 x - 5 = 0

3 x + 18 = x^{2}

(6 - x)^{2} = 64

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