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+7

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

The zeros of completesquare-2x^2-4x+5 are -2(x+1)^2+7

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} + 7

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} + 7

x^{2} - x + 132 = 0

2 x^{2} + 6 x = 25

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

4 x^{2} - 6 x - 70 = 0

0 = \frac{3 x ^{2}}{5} - \frac{1}{4}

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+7
Find the zeros of completesquare-2x^2-4x+5
The zeros of completesquare-2x^2-4x+5 are -2(x+1)^2+7