What are the solutions to the equation completesquare q^2+11q ?

The solutions to the equation completesquare q^2+11q are (q+11/2)^2-121/4

Find the zeros of completesquare q^2+11q

The zeros of completesquare q^2+11q are (q+11/2)^2-121/4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

q^{2} + 11 q

(q + \frac{11}{2})^{2} - \frac{121}{4}

Solution steps

q^{2} + 11 q

Write

q^{2} + 11 q

in the form:

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

2 a = 11 : a = \frac{11}{2}

Add and subtract

(\frac{11}{2})^{2}

q^{2} + 11 q + (\frac{11}{2})^{2} - (\frac{11}{2})^{2}

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

q^{2} + 11 q + (\frac{11}{2})^{2} = (q + \frac{11}{2})^{2}

(q + \frac{11}{2})^{2} - (\frac{11}{2})^{2}

Simplify

(q + \frac{11}{2})^{2} - \frac{121}{4}

2 x^{2} - 6 x - 11 = 0

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

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

0 = 2 x^{2} - 3 x + 1

12 x^{2} + 1 = 0

What are the solutions to the equation completesquare q^2+11q ?
The solutions to the equation completesquare q^2+11q are (q+11/2)^2-121/4
Find the zeros of completesquare q^2+11q
The zeros of completesquare q^2+11q are (q+11/2)^2-121/4