What are the solutions to the equation completesquare 2x^2+6x+4 ?

The solutions to the equation completesquare 2x^2+6x+4 are 2(x+3/2)^2-1/2

Find the zeros of completesquare 2x^2+6x+4

The zeros of completesquare 2x^2+6x+4 are 2(x+3/2)^2-1/2

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} + 6 x + 4

2 (x + \frac{3}{2})^{2} - \frac{1}{2}

Solution steps

2 x^{2} + 6 x + 4

Write

2 x^{2} + 6 x + 4

in the form:

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

Factor out

2

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

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

Add and subtract

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

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

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

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

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

Simplify

2 (x + \frac{3}{2})^{2} - \frac{1}{2}

2 y^{2} + 5 y = - 2

x^{2} + x - 36 = 0

c (x) = 2 x^{(2)} - 188 x + 78

x^{2} + 12 = 3 x

2 x^{2} + 15 x + 18 = 0

What are the solutions to the equation completesquare 2x^2+6x+4 ?
The solutions to the equation completesquare 2x^2+6x+4 are 2(x+3/2)^2-1/2
Find the zeros of completesquare 2x^2+6x+4
The zeros of completesquare 2x^2+6x+4 are 2(x+3/2)^2-1/2