What are the solutions to the equation completesquare-2x^2+4x-5 ?

The solutions to the equation completesquare-2x^2+4x-5 are -2(x-1)^2-3

Find the zeros of completesquare-2x^2+4x-5

The zeros of completesquare-2x^2+4x-5 are -2(x-1)^2-3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

- 2 x^{2} + 4 x - 5

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

Solution steps

- 2 x^{2} + 4 x - 5

Write

- 2 x^{2} + 4 x - 5

in the form:

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

Factor out

- 2

- 2 (x^{2} - 2 x + \frac{5}{2})

2 a = - 2 : a = - 1

Add and subtract

(- 1)^{2}

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

Simplify

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

- 1 - x^{2} = 0

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

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

s^{2} - 6 s + 11

s^{2} - 6 s + 13

What are the solutions to the equation completesquare-2x^2+4x-5 ?
The solutions to the equation completesquare-2x^2+4x-5 are -2(x-1)^2-3
Find the zeros of completesquare-2x^2+4x-5
The zeros of completesquare-2x^2+4x-5 are -2(x-1)^2-3