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

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

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

The zeros of completesquare 2x^2+x+2 are 2(x+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 x^{2} + x + 2

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

Solution steps

2 x^{2} + x + 2

Write

2 x^{2} + x + 2

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

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

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

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

Simplify

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

r^{2} + 5 r - 72 = 0

2 x^{2} - x = 14

(3 x)^{2} = (x + 4)^{2} + (2 x - 3)^{2}

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

x, x^{2} + 8 x + y^{2} + 6 y + 26 = 0

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