Answer: The correct option is (c) 
Step-by-step explanation: We are given to solve the following quadratic equation by the method of completing the square:

Also, we are to find the constant added on both sides to form the perfect square trinomial.
We have from equation (i) that

So,

Thus, the required solution is
and the value of the constant added is 
Option (c) is correct.
Answer:
B
Step-by-step explanation:
CAN I GET BRAINLIEST PLSS
Answer:
A. 2/3
Step-by-step explanation:
Plot the points, so you visualize rise/run.
When you start at the point (-3,8) it rises 2 then moves 3 to the right to get to the point (0,10). Then it rises 2 and moves 3 to the right to the point (3,12).
Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)
Answer:
See below.
Step-by-step explanation:
So we want to prove that:

First, simplify √8. This is the same as:

Therefore, our equation is now:

Combine like terms on the left:

The square root of something is the same as taking that number to the one-half power. Thus:

Rewrite:

And we're done!