Solving a quadratic with no solution by square root method

The video tutorial explains how to solve the equation Y = 9X^2 + 4 using the square root method. It begins by setting the equation to zero to find the values of X. The instructor demonstrates isolating the variable through inverse operations and applying the square root method. The tutorial addresses the issue of taking the square root of a negative number, introducing imaginary numbers as solutions. The video concludes by summarizing the process and outcomes, including no solutions or imaginary roots.

What is the first step in solving the equation Y = 9X^2 + 4 using the square root method?

• Add 4 to both sides

• Take the square root of both sides

• Set the equation equal to zero

• Multiply both sides by 9

What operation is used to isolate the variable X in the equation 9X^2 = -4?

• Addition

• Division

• Multiplication

• Subtraction

When taking the square root of both sides of an equation, what must be considered?

• Neither root

• Both positive and negative roots

• Only the negative root

• Only the positive root

What is the result of taking the square root of a negative number in this context?

• An imaginary number

• A real number

• A complex number

• No solution

What is the final solution to the equation Y = 9X^2 + 4 using the square root method?

• X = ±2/3

• X = ±3/2i

• X = ±3/2

• X = ±2/3i