What are the solutions to the equation completesquare-x^2-4x+7 ?

The solutions to the equation completesquare-x^2-4x+7 are -(x+2)^2+11

Find the zeros of completesquare-x^2-4x+7

The zeros of completesquare-x^2-4x+7 are -(x+2)^2+11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

- x^{2} - 4 x + 7

- (x + 2)^{2} + 11

Solution steps

- x^{2} - 4 x + 7

Write

- x^{2} - 4 x + 7

in the form:

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

Factor out

- 1

- (x^{2} + 4 x - 7)

2 a = 4 : a = 2

Add and subtract

2^{2}

- (x^{2} + 4 x - 7 + 2^{2} - 2^{2})

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

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

- ((x + 2)^{2} - 7 - 2^{2})

Simplify

- (x + 2)^{2} + 11

- x^{2} - 4 x + 4

(2 x + 5) (x - 1) = 0

- 6 x^{2} - 8 x + 5 = 0

(x^{2} + 6 x + 10) = 0

x - 2 x^{2} = 3 x^{2} - x - 3

What are the solutions to the equation completesquare-x^2-4x+7 ?
The solutions to the equation completesquare-x^2-4x+7 are -(x+2)^2+11
Find the zeros of completesquare-x^2-4x+7
The zeros of completesquare-x^2-4x+7 are -(x+2)^2+11