Question

What number should be added to both sides of the equation to complete the square?

x2 + 3x = 6
12 / 2
0
Nw
3
62

Answer 1

we have added 9/4 to both sides of the equation.

Explanation:

The given equation is :

`x^2+3x=6`

Here, a = 1, b = 3 and c = 6

We should add (b/2)^2 to the both sides of the equation.

(b/2)^2 = (3/2)^2 = (9/4)

`x^2+3x+(9)/(4)=6+(9)/(4)\\\\(x+(3)/(2))^2=(33)/(4)\\\\x+(3)/(2)=\pm (√(33))/(2)\\\\x= +(√(33))/(2)-(3)/(2), -(√(33))/(2)-(3)/(2)\\\\=1.37,-4.37`

Hence, we have added 9/4 to both sides of the equation.