What are the solutions to the equation completesquare-2x^2+8x-5 ?

The solutions to the equation completesquare-2x^2+8x-5 are -2(x-2)^2+3

Find the zeros of completesquare-2x^2+8x-5

The zeros of completesquare-2x^2+8x-5 are -2(x-2)^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} + 8 x - 5

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

Solution steps

- 2 x^{2} + 8 x - 5

Write

- 2 x^{2} + 8 x - 5

in the form:

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

Factor out

- 2

- 2 (x^{2} - 4 x + \frac{5}{2})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

- 2 (x^{2} - 4 x + \frac{5}{2} + (- 2)^{2} - (- 2)^{2})

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

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

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

Simplify

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

6 x + 6 = (4 - x) (x + 7)

x^{2} + x = 7

10 x^{2} + 31 x + 15 = 0

(x + 5)^{2} = 2

k^{2} - 16 = 0

What are the solutions to the equation completesquare-2x^2+8x-5 ?
The solutions to the equation completesquare-2x^2+8x-5 are -2(x-2)^2+3
Find the zeros of completesquare-2x^2+8x-5
The zeros of completesquare-2x^2+8x-5 are -2(x-2)^2+3