Solving Equations and Functions

The video tutorial explains how to solve a given equation by rewriting it in quadratic form and solving it through factoring. It covers the process of checking the quadratic form, factoring the equation, solving for X using cross multiplication, and verifying the solutions by substituting back into the original equation. The tutorial concludes with a summary of the solutions found.

What is the first step in solving the given equation by writing it in quadratic form?

• Directly solve for x.

• Check if the equation is linear.

• Ensure the variable factor of the middle term squared equals the first term.

• Substitute the variable with a constant.

In the quadratic form, what does 'U' represent?

• The constant term

• X to the power of -1

• X to the power of -2

• The coefficient of x

What are the factors of -15 that add up to 2?

• 5 and -3

• 3 and -5

• 15 and -1

• 1 and -15

How do you express X to the power of -1 in terms of a fraction?

• 1/X^2

• X/1

• 1/X

• X^2

What is the value of x when solving -5X = 1?

• -5

• 1/5

• -1/5

• 5

What is the result of cross-multiplying when solving 3X = 1?

• X = 0

• X = 1

• X = 1/3

• X = 3

Why is it important to verify the solutions by substituting back into the original equation?

• To eliminate any constants.

• To ensure the solutions are correct.

• To find new solutions.

• To simplify the equation further.

What is the simplified result of -1/5 to the power of -2?

• 1/25

• -1/25

• -25

• 25

What is the simplified result of 1/3 to the power of -2?

• -9

• 9

• 1/9

• -1/9

What are the two solutions to the equation after verification?

• X = -1/5 and X = -1/3

• X = -1/5 and X = 1/3

• X = 1/5 and X = -1/3

• X = 1/5 and X = 1/3