Find the value of c that completes the square

The video tutorial explains how to find the value of C to complete the square in a quadratic equation. It begins with an introduction to the concept and its importance in mathematics. The tutorial then outlines the steps to complete the square, emphasizing the need for the quadratic form to have a leading coefficient of 1. An example calculation is provided using 9/2, demonstrating how to avoid decimals and find C as 81/4. Finally, the tutorial shows how to create a perfect square trinomial and rewrite it as a binomial.

What is the first step in completing the square for a quadratic equation?

• Divide the constant term by 2

• Subtract the linear term from the constant

• Multiply the linear term by 2

• Ensure the coefficient of x^2 is 1

How do you calculate the value of C in the process of completing the square?

• Subtract B from the constant term

• Add B to the constant term

• Divide B by 2 and then square it

• Multiply B by 2 and then square it

In the example given, what is the squared value of 9/2?

• 81/4

• 20.25

• 9/4

• 40.5

What role does the value of C play in completing the square?

• It helps in forming a perfect square trinomial

• It is used to find the vertex of the parabola

• It simplifies the quadratic formula

• It determines the roots of the equation

How can the expression x^2 + 9x + 81/4 be rewritten?

• (x + 9/2)^2

• (x - 9/2)^2

• (x + 4.5)^2

• (x - 4.5)^2