What are the solutions to the equation completesquare 1-4x-2x^2 ?

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

Find the zeros of completesquare 1-4x-2x^2

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

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complete the square

1 - 4 x - 2 x^{2}

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

Solution steps

1 - 4 x - 2 x^{2}

Write in the standard form

a x^{2} + b x + c

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

Write

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

in the form:

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

Factor out

- 2

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

2 a = 2 : a = 1

Add and subtract

1^{2}

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

Simplify

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

(1 - 2 x - x^{2}) = 0

t^{2} = - 3 t - 4

8 y^{2} - y + 2 = 0

u^{2} - 4 u = 0

8 x^{2} + 3 = - 4 x

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