Solving a rational Equation

Solving a rational Equation

Assessment

Interactive Video

Mathematics, Science

11th Grade - University

Hard

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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.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the process of cross multiplication and why is it considered simple?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to determine the least common denominator (LCD) in the context of the given problem.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of recognizing a difference of two squares in solving the equation?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you solve for X after setting up the equation 4 = X^2 - 9?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean for a solution to be irrational, and how does it relate to the square root of 13?

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