Solving Quadratic Equations Steps

The video tutorial explains how to solve quadratic equations by undoing operations applied to the variable X. It introduces a specific quadratic equation, describes its degree, and demonstrates the process of isolating X by subtracting, dividing, and square rooting. The tutorial concludes by finding the final solutions for X, highlighting the importance of considering both positive and negative roots.

What is the primary method discussed for solving quadratic equations in this video?

• Using the quadratic formula

• Undoing operations

• Graphing the equation

• Completing the square

Why is the given equation called a quadratic equation?

• Because it has two variables

• Because it involves a square root

• Because it has a variable raised to the power of three

• Because the variable is squared

What is the degree of the given quadratic equation?

• Degree 1

• Degree 3

• Degree 4

• Degree 2

What is the first step in isolating X in the equation?

• Multiplying both sides by 2

• Subtracting 18 from both sides

• Adding 5 to both sides

• Dividing both sides by 2

What is the first operation performed on the equation?

• Division

• Multiplication

• Subtraction

• Addition

What operation is performed after subtracting 18 from both sides?

• Subtracting 5 from both sides

• Dividing both sides by 2

• Multiplying both sides by 2

• Adding 18 to both sides

What is the purpose of subtracting 18 from both sides?

• To change the equation type

• To simplify the equation

• To eliminate the variable

• To add complexity

What is the result of dividing 8 by 2 in the equation?

• 2

• 4

• 6

• 8

What operation is used to eliminate the coefficient of X?

• Division

• Addition

• Subtraction

• Multiplication

How do we undo the squaring of a term in the equation?

• By subtracting a square root

• By taking the square root

• By adding a square root

• By multiplying by 2