Find the value b of a quadratic

The video tutorial explains the mathematical relationship C = (B/2)^2, demonstrating how to solve for B by taking the square root of both sides and multiplying by 2. It further illustrates how to factor the quadratic expression X^2 + (8/3)X + (16/9) into (X + 4/3)^2.

What is the initial equation set up in the video?

• C = AB/2

• AB = 16/9

• C = A + B

• 16/9 = (AB/2)^2

What operation is performed to both sides of the equation to solve for B?

• Subtraction

• Square root

• Multiplication

• Addition

After taking the square root, what is the value of AB/2?

• 8/3

• 2/3

• 16/9

• 4/3

What is the value of B after solving the equation?

• 4/3

• 8/3

• 16/9

• 2

How is the quadratic equation expressed in its factored form?

• (X + 16/9)^2

• (X + 2/3)^2

• (X + 8/3)^2

• (X + 4/3)^2