What are the solutions to the equation completesquare 2s^2+s+2 ?

The solutions to the equation completesquare 2s^2+s+2 are 2(s+1/4)^2+15/8

Find the zeros of completesquare 2s^2+s+2

The zeros of completesquare 2s^2+s+2 are 2(s+1/4)^2+15/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

2 s^{2} + s + 2

2 (s + \frac{1}{4})^{2} + \frac{15}{8}

Solution steps

2 s^{2} + s + 2

Write

2 s^{2} + s + 2

in the form:

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

Factor out

2

2 (s^{2} + \frac{s}{2} + 1)

2 a = \frac{1}{2} : a = \frac{1}{4}

Add and subtract

(\frac{1}{4})^{2}

2 (s^{2} + \frac{s}{2} + 1 + (\frac{1}{4})^{2} - (\frac{1}{4})^{2})

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

s^{2} + \frac{1}{2} s + (\frac{1}{4})^{2} = (s + \frac{1}{4})^{2}

2 ((s + \frac{1}{4})^{2} + 1 - (\frac{1}{4})^{2})

Simplify

2 (s + \frac{1}{4})^{2} + \frac{15}{8}

x^{2} + \frac{15}{4} = \frac{3 x ^{2} - x + 3}{4} + 3

x, y^{2} = 2 x^{2}

x^{2} + 13 x - 32 = 0

2 a x - x^{2} = - 4 a^{2}

v^{2} + 5 v + 28 = 0

What are the solutions to the equation completesquare 2s^2+s+2 ?
The solutions to the equation completesquare 2s^2+s+2 are 2(s+1/4)^2+15/8
Find the zeros of completesquare 2s^2+s+2
The zeros of completesquare 2s^2+s+2 are 2(s+1/4)^2+15/8