What are the solutions to the equation completesquare 2x^2+9x+4 ?

The solutions to the equation completesquare 2x^2+9x+4 are 2(x+9/4)^2-49/8

Find the zeros of completesquare 2x^2+9x+4

The zeros of completesquare 2x^2+9x+4 are 2(x+9/4)^2-49/8

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} + 9 x + 4

2 (x + \frac{9}{4})^{2} - \frac{49}{8}

Solution steps

2 x^{2} + 9 x + 4

Write

2 x^{2} + 9 x + 4

in the form:

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

Factor out

2

2 (x^{2} + \frac{9 x}{2} + 2)

2 a = \frac{9}{2} : a = \frac{9}{4}

Add and subtract

(\frac{9}{4})^{2}

2 (x^{2} + \frac{9 x}{2} + 2 + (\frac{9}{4})^{2} - (\frac{9}{4})^{2})

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

x^{2} + \frac{9}{2} x + (\frac{9}{4})^{2} = (x + \frac{9}{4})^{2}

2 ((x + \frac{9}{4})^{2} + 2 - (\frac{9}{4})^{2})

Simplify

2 (x + \frac{9}{4})^{2} - \frac{49}{8}

8 x^{2} - 2 (x + 10) = 10 x

(2 x + 1) (x - 2) = 5

x, x^{2} + y^{2} + 18 = 0

8 = 3 x^{2} - 2 x

2 x (x + 2) = 0

What are the solutions to the equation completesquare 2x^2+9x+4 ?
The solutions to the equation completesquare 2x^2+9x+4 are 2(x+9/4)^2-49/8
Find the zeros of completesquare 2x^2+9x+4
The zeros of completesquare 2x^2+9x+4 are 2(x+9/4)^2-49/8