Square Roots and Solving Equations

The video tutorial explains how to solve the equation x^2 = 144/169 by isolating X. It involves understanding and calculating square roots. The process includes taking the square root of both sides of the equation, leading to the solution X = 12/13. The tutorial emphasizes the importance of finding the square root of both the numerator and denominator to achieve the correct answer.

What is the first step in solving the equation x^2 = 144/169?

• Subtract 169 from both sides

• Isolate x on one side

• Add 144 to both sides

• Multiply both sides by 2

What does taking the square root of a number mean?

• Multiplying the number by itself

• Finding a number that adds up to the original number

• Finding two identical numbers that multiply to the original number

• Dividing the number by 2

What is the square root of 144?

• 12

• 14

• 13

• 11

What is the square root of 169?

• 14

• 12

• 11

• 13

What operation is performed to both sides of the equation to solve for x?

• Addition

• Subtraction

• Multiplication

• Square root

Why is it important to take the square root of both the numerator and the denominator?

• To simplify the equation

• To eliminate the fraction

• To make the equation more complex

• To ensure the equation remains balanced

What is the value of x when x^2 = 144/169?

• 13/12

• 13/14

• 12/13

• 14/13

Which of the following is a correct step in solving x^2 = 144/169?

• Adding 144 to both sides

• Multiplying both sides by 169

• Subtracting 169 from both sides

• Taking the square root of both sides