Solving a rational Equation

The video tutorial explains the process of solving equations using cross multiplication. It begins with setting up the cross multiplication, followed by performing the multiplication and ensuring the equation is maintained. The tutorial also covers determining the least common denominator (LCD) and explains that it is equivalent to cross multiplication. The process of factoring and solving the equation is demonstrated, leading to the solution of the equation by taking the square root of both sides. The tutorial concludes by discussing the nature of the solution, highlighting that it is irrational and includes both positive and negative values.

What is the primary advantage of using cross multiplication in solving equations?

• It is more accurate than other methods.

• It simplifies the setup and calculation process.

• It requires fewer steps than any other method.

• It eliminates the need for factoring.

How does the LCD method compare to cross multiplication?

• It is simpler and more straightforward.

• It requires additional steps and calculations.

• It is exactly the same in terms of steps.

• It is more complex and less efficient.

What is the result of multiplying 2 by 2 in the example provided?

• 4

• 2

• 6

• 8

What technique is used to solve the equation 4 = X^2 - 9?

• Graphing the equation

• Completing the square

• Using the quadratic formula

• Factoring the difference of two squares

Why must both positive and negative solutions be considered when taking the square root?

• To ensure all possible solutions are accounted for.

• Because the square root function is undefined otherwise.

• Because it is a requirement of the quadratic formula.

• To simplify the equation further.