How to find the inverse of a quadratic equation

The video tutorial explains how to solve an equation involving a square root, emphasizing the importance of considering restrictions. The instructor guides through isolating the variable y, applying the square root, and deciding whether to use the positive or negative root based on given restrictions. The tutorial concludes with a summary and a transition to the next topic.

What is the first step in solving the equation y^2 + 3 = X?

• Divide both sides by 3

• Subtract 3 from both sides

• Add 3 to both sides

• Multiply both sides by 3

When taking the square root of both sides of an equation, what must you remember to include?

• 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 y^2?

• y

• 2y

• ±y

• y^2

Why is only the positive root considered in this problem?

• Due to the restriction that x must be greater than or equal to zero

• To simplify the calculation

• Because the equation is linear

• Because negative roots are not real numbers

What is the restriction applied to the variable x in this problem?

• x must be greater than or equal to zero

• x must be equal to zero

• x must be greater than zero

• x must be less than zero