The calculated values of the variable m are 1 and 4
How to determine the value of m
From the question, we have the following parameters that can be used in our computation:
To determine the value of m, the expression 16 - 4m(-m + 5) must be greater than or equal to zero for the square root to be defined.
Setting the expression to 0, we have
16 - 4m(-m + 5) = 0
16 + 4m² - 20m = 0
So, we have
4 + m² - 5m = 0
Rewrite as
m² - 5m + 4 = 0
Factoring the quadratic, we get:
(m - 4)(m - 1) = 0
This gives
m = 4 and m = 1
Hence, the values of m are 1 and 4