Question

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

Answer 1

Answer:

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

Step-by-step 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)

$x^2+3x+\dfrac{9}{4}=6+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{33}{4}\\\\x+\dfrac{3}{2}=\pm \dfrac{\sqrt{33}}{2}\\\\x= +\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}, -\dfrac{\sqrt{33}}{2}-\dfrac{3}{2}\\\\=1.37,-4.37$

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