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

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

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

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

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complete the square

- 2 x^{2} + 4 x

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

Solution steps

- 2 x^{2} + 4 x

Write

- 2 x^{2} + 4 x

in the form:

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

Factor out

- 2

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

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

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

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

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

Simplify

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

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

- 6 x^{2} + 6 x + 12 = 0

x^{2} + 15 x + 16 = 0

x, x^{2} + 2 x - 15 = 0

x, x^{2} y + 4 x y - x^{2} + x + 4 y - 6 = 0

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