13.05 Completing the Square:

X^2+20x=10

X^2-4x=8

X^2+5x=3

X^2-9x=5

2x^2-48x=10

X^2+2x=8

X^2-6x=16

X^2-18x=19

X^2+3x=3

X^2+7x=8

Respuesta :

The way these equations are arranged helps. 
First only deal with the left handside. 

X^2+20x= (x+a)^2 -b where we are looking for a,b
You need to know the general formula for (x+a)^2=x^2+2ax+a^2
20x = 2*10x so a will be 10
(x+10)^2= x^2+20x+100

Now lets look at the original question: 
X^2+20x=10
we know now that 
(x+10)^2= x^2+20x+100
Thus X^2+20x=(x+10)^2 -100
So X^2+20x=10 becomes

(x+10)^2 -100 =10
(x+10)^2=110
For the other question you need to follow the same logic.