How to solve a quadratic using the square root method with fraction

The video tutorial explains how to solve equations involving fractions by setting Y to zero to find the zeros of the equation. It covers isolating X squared, using the reciprocal to handle fraction multiplication, and taking the square root of fractions to find the solution. The tutorial emphasizes understanding the process and includes both positive and negative solutions.

What is the first step in finding the zeros of the equation Y = 4/3 X^2 - 3/4?

• Multiply both sides by 3

• Set Y equal to 1

• Set Y equal to 0

• Divide both sides by 4

How do you isolate X^2 in the equation 4/3 X^2 - 3/4 = 0?

• Divide both sides by 3/4

• Multiply both sides by 4/3

• Add 3/4 to both sides

• Subtract 3/4 from both sides

What operation is equivalent to dividing by 4/3?

• Subtracting 4/3

• Multiplying by 3/4

• Multiplying by 4/3

• Adding 3/4

What is the result of taking the square root of 9/16?

• 4/3

• 1/2

• 3/4

• 9/4

Why is it important to consider both positive and negative roots when solving for X?

• Because it simplifies the equation

• Because it eliminates fractions

• Because it ensures all solutions are found

• Because it makes calculations easier