A portion of the Quadratic Formula proof is shown. Fill in the missing reason.

Statements
Reasons
ax2 + bx + c = 0
Given
ax2 + bx = −c
Subtract c from both sides of the equation

Divide both sides of the equation by a

Complete the square and add to both sides

Square on the right side of the equation

Find a common denominator on the right side of the equation

Add the fractions together on the right side of the equation

?

Rewrite the perfect square trinomial as a binomial squared on the left side of the equation
Take the square root of both sides of the equation
Multiply both sides of the equation by 2
Square the left side of the equation

see the procedure

Step-by-step explanation:

we have

----> given

step 1

Subtract c from both sides of the equation

step 2

Factor the leading coefficient a

step 3

Complete the square and add to both sides

step 4

Divide both sides of the equation by a

step 5

Find a common denominator on the right side of the equation  and adds the fractions together on the right side of the equation

step 6

Rewrite the perfect square trinomial as a binomial squared on the left side of the equation

step 7

Take the square root of both sides of the equation

step 8

Subtract both sides of the equation by the term b/2a

step 9

Rewrite the final expression

i think the correct option is the second option.