Question

Part 1 (mathematical modelling):

Assume that:
The distances are in metres,
The intensity measurements are in Watts/Metre, -
> 12, and 1,12 >0.
Derive an equation of the form:
ar² + br+ c = 0
Once you do, you need to solve for r, i.e., find the roots of the equation. Since there will be two roots, you need to figure out which of the roots of this quadratic equation will give you the bigger value and select that root as your answer to the problem. You must mathematically justify which of the roots will be bigger.
You can use the following values to validate your results:
ム 10
8
r (Rounded to 4 decimal places)
52
2.4142
Note: Make sure to check your units

Answer 1

To solve the equation ar² + br + c = 0, use the quadratic formula and compare the resulting roots to find the bigger value.

Step-by-step explanation:

To derive the equation in the form ar² + br + c = 0, we need to use the quadratic formula. Since the equation is given in the form of a quadratic equation, we can simply equate the equation to zero. Once we have the equation in this form, we can use the quadratic formula to solve for r. The quadratic formula is:

r = (-b ± √(b^2 - 4ac)) / (2a)

To determine the roots of the equation, we need to identify the values of a, b, and c. Once we have obtained the roots, we can compare them to find the bigger value.