Solving a rational Equation

The video tutorial explains how to solve a rational equation by using cross multiplication. It begins with setting up the equation and proceeds to cross multiply and simplify the terms. The instructor then solves the resulting quadratic equation by applying the distributive property and factoring. Finally, the zero product property is used to find potential solutions, which are verified to ensure they do not make the denominator zero. The valid solution is identified as x = 6.

What is the first step in solving a rational equation using cross multiplication?

• Subtract the denominators

• Cross multiply the terms

• Multiply the denominators

• Add the numerators together

When simplifying a rational equation, what is a common technique used to make the equation more manageable?

• Adding terms

• Factoring out common terms

• Multiplying by zero

• Dividing by the numerator

What property is used to solve the equation once it is simplified to a product equal to zero?

• Zero product property

• Distributive property

• Associative property

• Commutative property

Why is it important to check the solutions of a rational equation?

• To check if the solution is an integer

• To confirm the solution is positive

• To verify the solution does not make the denominator zero

• To ensure the solution is a whole number

What is the valid solution for the given rational equation in the tutorial?

• X = -3

• X = 0

• X = 3

• X = 6