What are the solutions to the equation completesquare-5x^2+20x-32 ?

The solutions to the equation completesquare-5x^2+20x-32 are -5(x-2)^2-12

Find the zeros of completesquare-5x^2+20x-32

The zeros of completesquare-5x^2+20x-32 are -5(x-2)^2-12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

- 5 x^{2} + 20 x - 32

- 5 (x - 2)^{2} - 12

Solution steps

- 5 x^{2} + 20 x - 32

Write

- 5 x^{2} + 20 x - 32

in the form:

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

Factor out

- 5

- 5 (x^{2} - 4 x + \frac{32}{5})

2 a = - 4 : a = - 2

Add and subtract

(- 2)^{2}

- 5 (x^{2} - 4 x + \frac{32}{5} + (- 2)^{2} - (- 2)^{2})

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

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

- 5 ((x - 2)^{2} + \frac{32}{5} - (- 2)^{2})

Simplify

- 5 (x - 2)^{2} - 12

(x^{2} + 2 x - 3) = 6

6 c^{2} + 12 c = 0

v^{2} - 3 = 22

5 x^{2} + 61 = 0

5 u^{2} - 14 u - 3 = 0

What are the solutions to the equation completesquare-5x^2+20x-32 ?
The solutions to the equation completesquare-5x^2+20x-32 are -5(x-2)^2-12
Find the zeros of completesquare-5x^2+20x-32
The zeros of completesquare-5x^2+20x-32 are -5(x-2)^2-12