Understanding Rational Equations

The video tutorial explains how to solve rational equations using various methods such as cross-multiplication and finding the least common denominator. It covers multiple examples, highlighting the importance of checking for excluded values that make denominators zero. The tutorial also demonstrates factoring techniques and solving both linear and quadratic equations, providing a comprehensive understanding of rational equations.

What is the result of cross multiplying 2/5 and 4/N?

• N = 2

• N = 5

• N = 10

• N = 20

After solving the equation x/(x+2) = 1/x, what are the solutions?

• 2 and 1

• 0 and 1

• 1 and -2

• 2 and -1

What are the excluded values for the equation x/(x+2) = 1/x?

• -2 and 0

• 2 and 1

• -1 and 1

• 0 and 1

In solving equations with different denominators, what is crucial to match across the equation?

• Numerator

• Least Common Denominator (LCD)

• Cross product

• Excluded values

What does the equation become once the denominators are matched?

• Solve for the denominator

• Focus on solving the numerator

• Cross multiply immediately

• Check for excluded values

What is the solution for the equation with denominators a+5 and a-5 after simplification?

• a = 7

• a = -5

• a = 5

• No solution

What are the excluded values for the equation involving a+5 and a-5 denominators?

• 5 and -5

• 1 and -1

• 7 and -7

• 0 and 1

What is the simplified solution for n in the equation involving n+1 and n+8 denominators?

• -51/9

• -17/3

• 51/9

• 17/3

After solving the equation with denominators X-6 and X-3, what is the solution?

• 5/19

• -19/5

• 19/5

• No solution

What are the excluded values for the equation with denominators X-6 and X-3?

• 6 and 3

• -6 and -3

• 0 and 1

• 1 and -1