Solving Quadratic Equations and Roots

The video tutorial explains how to solve a quadratic equation in vertex form. It begins by introducing the equation and then rearranges it to isolate the squared term. The instructor demonstrates taking the square root of both sides to solve for X, resulting in two possible solutions. Finally, the video identifies the zeroes of the equation, which are X equals 7 and X equals -1.

What is the first step in solving the quadratic equation in vertex form?

• Divide both sides by 3

• Add 10 to both sides

• Rearrange terms to isolate the squared term

• Multiply both sides by 2

Why can we take the square root of both sides of the equation?

• Because it is a linear equation

• Because it eliminates the variable

• Because it simplifies the equation

• Because 16 is a perfect square

What are the possible values for x after taking the square root?

• x = 4 or x = -4

• x = 3 or x = -3

• x = 7 or x = -1

• x = 5 or x = -5

What is the value of x when x - 3 equals positive 4?

• x = 1

• x = 10

• x = 7

• x = 4

What are the final solutions for the quadratic equation?

• x = 2 or x = -2

• x = 5 or x = -5

• x = 7 or x = -1

• x = 3 or x = -3