What are the solutions to the equation completesquare 2x^2+3x+6 ?

The solutions to the equation completesquare 2x^2+3x+6 are 2(x+3/4)^2+39/8

Find the zeros of completesquare 2x^2+3x+6

The zeros of completesquare 2x^2+3x+6 are 2(x+3/4)^2+39/8

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} + 3 x + 6

2 (x + \frac{3}{4})^{2} + \frac{39}{8}

Solution steps

2 x^{2} + 3 x + 6

Write

2 x^{2} + 3 x + 6

in the form:

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

Factor out

2

2 (x^{2} + \frac{3 x}{2} + 3)

2 a = \frac{3}{2} : a = \frac{3}{4}

Add and subtract

(\frac{3}{4})^{2}

2 (x^{2} + \frac{3 x}{2} + 3 + (\frac{3}{4})^{2} - (\frac{3}{4})^{2})

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

x^{2} + \frac{3}{2} x + (\frac{3}{4})^{2} = (x + \frac{3}{4})^{2}

2 ((x + \frac{3}{4})^{2} + 3 - (\frac{3}{4})^{2})

Simplify

2 (x + \frac{3}{4})^{2} + \frac{39}{8}

x^{2} - x - 20 = - x

(x - 6) (x + 6) - (x - 3) 2 = 0

0.2 x^{2} - 0.5 x - 7 = 0

13 x - 36 = x^{2}

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

What are the solutions to the equation completesquare 2x^2+3x+6 ?
The solutions to the equation completesquare 2x^2+3x+6 are 2(x+3/4)^2+39/8
Find the zeros of completesquare 2x^2+3x+6
The zeros of completesquare 2x^2+3x+6 are 2(x+3/4)^2+39/8