Solving a quadratic by completing the square | Part 4

The video tutorial explains how to solve a quadratic equation by completing the square, even when the coefficient B is not an even number. The process involves converting the equation from standard form to vertex form, factoring the trinomial, and solving for X using inverse operations. The tutorial also covers handling fractions and ensuring the correct application of mathematical operations to reach the final solution.

What is the first step in completing the square for the equation y = X^2 - X - 5?

• Divide by 2

• Multiply by 2

• Add 5 to both sides

• Add 1/4 to both sides

When factoring a trinomial into a perfect square, what form does it take?

• (X ± B/2)^2

• (X ± B)^2

• (X ± 2B)^2

• (X ± B/4)^2

Why do we use ± when factoring the trinomial?

• To ensure the middle term matches

• To simplify the equation

• To make the equation more complex

• To account for both positive and negative roots

What operation is used to isolate X after factoring?

• Multiplication

• Addition

• Subtraction

• Square root

What is the final form of the solution for X?

• X = 1/2 ± sqrt(21)

• X = 1 ± sqrt(21)

• X = 1 ± sqrt(21)/2

• X = 1/2 ± sqrt(21)/2