What are the solutions to the equation completesquare x^2+4x+1 ?

The solutions to the equation completesquare x^2+4x+1 are (x+2)^2-3

Find the zeros of completesquare x^2+4x+1

The zeros of completesquare x^2+4x+1 are (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

x^{2} + 4 x + 1

(x + 2)^{2} - 3

Solution steps

x^{2} + 4 x + 1

Write

x^{2} + 4 x + 1

in the form:

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

2 a = 4 : a = 2

Add and subtract

2^{2}

x^{2} + 4 x + 1 + 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} + 1 - 2^{2}

Simplify

(x + 2)^{2} - 3

4 x^{2} - 40 x + 64 = 0

(x - 11)^{2} = 36

- x^{2} + 3 x + 40 = 0

5 x^{2} + 38 = 3

x^{2} - 4 = 4 x + 8

What are the solutions to the equation completesquare x^2+4x+1 ?
The solutions to the equation completesquare x^2+4x+1 are (x+2)^2-3
Find the zeros of completesquare x^2+4x+1
The zeros of completesquare x^2+4x+1 are (x+2)^2-3