Final answer:
To create an equation resulting in 36, one could use basic arithmetic operations like 6 x 6 = 36 or 72 ÷ 2 = 36. The process includes choosing an operation and verifying the solution through calculation and making sure the logic and arithmetic are correct.
Step-by-step explanation:
To create a unique equation with a solution of 36, one could start by identifying a simple mathematical operation and its inverse that result in the desired answer. For example, if we use multiplication and its inverse, division, one could create an equation such as 6 x 6 = 36 or 72 ÷ 2 = 36. The process used here involved choosing numbers that when multiplied or divided by each other result in the number 36.
To ensure the solution is correct, we must first write down the chosen equation. Next, we verify that all the values used are correct and that they follow the rules of arithmetic. To calculate the answer, we perform the multiplication or division operation and confirm that our units, in this case, are unitless as we are performing basic arithmetic. To check our solution, we can reverse the operation (using division if we multiplied, and vice versa) to see if we arrive back at our original known values.