How to Solve an Equation from a Word Problem Involving the Square Root

The video tutorial explains how to determine the time it takes for a liquid to reach a certain temperature using the formula T = 8√T. It begins by identifying the variables involved: T for temperature in Celsius and t for time in minutes. The tutorial then guides viewers through solving the equation for time when the temperature is given as 48 degrees Celsius. The process involves dividing by 8 and squaring both sides to isolate t. The solution is explained with assumptions, concluding that the time is 36 minutes.

Why is it important to identify the variables in the equation?

What does T represent in the formula T = 8 * sqrt(T)?

How do you solve for T when given the equation 48 = 8 * sqrt(T)?

What steps are involved in undoing the square root in the equation?

What is the final value of T when the temperature is 48 degrees Celsius?