Solving a rational Equation

The video tutorial explains how to solve rational equations by first finding the least common denominator and then applying the distributive property. It demonstrates the process of simplifying expressions and solving the resulting quadratic equation using the quadratic formula. The tutorial emphasizes understanding the discriminant to determine the nature of solutions.

Why can't cross multiplication be used directly in the given rational equation?

• Because the equation is linear.

• Because the equation is already simplified.

• Because the equation has no variables.

• Because the equation is not a proportion.

What is the least common denominator for the terms X-1, X+1, and 1?

• X-1

• X-1 * X+1

• X+1

• X^2-1

What is the result of applying the distributive property to the equation?

• 2X + 2 + 3X - 3 = 4X^2 - 4

• 5X - 1 = 4X^2 - 4

• X^2 - 1 = 0

• 3X - 1 = 4

What method is used to determine if the quadratic equation is factorable?

• Graphing

• AC method

• Quadratic formula

• Completing the square

What does the discriminant tell us about the quadratic equation?

• The type of solutions

• The number of solutions

• The product of solutions

• The sum of solutions

What is the value of the discriminant in this problem?

• 25

• 0

• 48

• 73

What are the final solutions for the quadratic equation?

• 5 ± sqrt(73) / 8

• -5 ± sqrt(73) / 8

• 5 ± sqrt(48) / 8

• -5 ± sqrt(48) / 8