If using the method of completing the square to solve the quadratic equation x^2-5x-18=0 which number would have to be added to "complete the square"? Answer Attemptiont of c Submit Answer

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Answer 1

To complete the square for the quadratic equation

, we need to focus on the quadratic and linear terms:

.The general form for completing the square is to take half of the coefficient of

, square it, and add it to both sides of the equation. The coefficient of

in this case is

.1. Take half of the coefficient of

:

2. Square this value:

So, the number that needs to be added to complete the square is

.Let's verify this by completing the square step-by-step:Starting with the equation:

Move the constant term to the other side:

Add

to both sides:

Simplify the right side:

So the equation becomes:

The left side is now a perfect square trinomial:

Thus, the number that needs to be added to complete the square is

.

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