What are the solutions to the equation completesquare x^2+19x ?

The solutions to the equation completesquare x^2+19x are (x+19/2)^2-361/4

Find the zeros of completesquare x^2+19x

The zeros of completesquare x^2+19x are (x+19/2)^2-361/4

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} + 19 x

(x + \frac{19}{2})^{2} - \frac{361}{4}

Solution steps

x^{2} + 19 x

Write

x^{2} + 19 x

in the form:

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

2 a = 19 : a = \frac{19}{2}

Add and subtract

(\frac{19}{2})^{2}

x^{2} + 19 x + (\frac{19}{2})^{2} - (\frac{19}{2})^{2}

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

x^{2} + 19 x + (\frac{19}{2})^{2} = (x + \frac{19}{2})^{2}

(x + \frac{19}{2})^{2} - (\frac{19}{2})^{2}

Simplify

(x + \frac{19}{2})^{2} - \frac{361}{4}

x^{2} = 18 + 3 x

x^{2} + 4 = x^{2} \cdot 4

(z - 4)^{2} = - 9

6 x^{2} - 2 x + 9 = 0

9 x^{2} = 16

What are the solutions to the equation completesquare x^2+19x ?
The solutions to the equation completesquare x^2+19x are (x+19/2)^2-361/4
Find the zeros of completesquare x^2+19x
The zeros of completesquare x^2+19x are (x+19/2)^2-361/4