What are the solutions to the equation completesquare x^2+3x+13/4 ?

The solutions to the equation completesquare x^2+3x+13/4 are (x+3/2)^2+1

Find the zeros of completesquare x^2+3x+13/4

The zeros of completesquare x^2+3x+13/4 are (x+3/2)^2+1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

complete the square

x^{2} + 3 x + \frac{13}{4}

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

Solution steps

x^{2} + 3 x + \frac{13}{4}

Write

x^{2} + 3 x + \frac{13}{4}

in the form:

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

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

Add and subtract

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

x^{2} + 3 x + \frac{13}{4} + (\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}

(x + \frac{3}{2})^{2} + \frac{13}{4} - (\frac{3}{2})^{2}

Simplify

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

2 x^{2} = 25

2 x^{2} = 48

2 x^{2} = 80

7 x^{2} + 3 x - 4 = 0

15 x^{2} - 135 = 0

What are the solutions to the equation completesquare x^2+3x+13/4 ?
The solutions to the equation completesquare x^2+3x+13/4 are (x+3/2)^2+1
Find the zeros of completesquare x^2+3x+13/4
The zeros of completesquare x^2+3x+13/4 are (x+3/2)^2+1