Question

Find C. to form completing Square

`x^(2) -(3)/(2)x + C`

Answer 1

c = 9/16

Explanation:

step1

(a-b)²

a² - 2ab + b²

here a = x

b = ?

so

x² - (2)(x)(?) + ?²

Now we can see that -(2x)? = -3x/2

-2x? = -3x/2

cancel -x on both sides

2? = 3/2

? = 3/2 * (2)

? = 3/4

so b = 3/4

step2

(x² - 3x + 9/16) = (x-3/4)²

so from the expression we can see that C = 9/16