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a student was given the equation x^2+6x-13=0
the next step in the students process was x^2+6x+c=13+c

state the value of c that creates a perfect square trinomial

explain how the value of c is determined

Verified Answer :

MathG33k

This is the process of completing the square. 
Keep this equation in mind: \(ax^2+bx+c\)
Basically, to make this a perfect square trinomial, you take half of b and square that value. This will make it so you can compress the left side of the equation into \((x+b)^2 \ or \ (x-b)^2\) depending on the sign in the middle of the original equation.

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