Answer:

Step-by-step explanation:
Given the function
, to write the form of its partial fraction on decomposition, we will separate the two functions separated by an addition sign. The numerator of each function will be constants A and b and the denominator will be the individual factors of each function at the denominator. The partial fraction of the rational function is as shown below.

<em>Since we are not to solve for the constants, hence the partial fraction is </em>
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

-----> equation in vertex form
therefore
the answer is the option C

Answer:
x^2 + 6x + 2 = 0
Step-by-step explanation:
Just add 2 to both sides, obtaining x^2 + 6x + 2 = 0; this is in "general form" for a quadratic equation.
I earned 5 for x and 12 for y but I'm not sure about the «y»