What are the solutions to the equation completesquare x^2+2x+1 ?

The solutions to the equation completesquare x^2+2x+1 are (x+1)^2

Find the zeros of completesquare x^2+2x+1

The zeros of completesquare x^2+2x+1 are (x+1)^2

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} + 2 x + 1

(x + 1)^{2}

Solution steps

x^{2} + 2 x + 1

Write

x^{2} + 2 x + 1

in the form:

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

2 a = 2 : a = 1

Add and subtract

1^{2}

x^{2} + 2 x + 1 + 1^{2} - 1^{2}

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

x^{2} + 2 x + 1^{2} = (x + 1)^{2}

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

Simplify

(x + 1)^{2}

x^{2} + 2 x + 4

(x - 1)^{2} = 10

x^{2} + 4 x - 13 = - 7

5 x^{2} - 17 x - 12 = 0

x^{2} + 49 = 14 x

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