Answer:
75
Step-by-step explanation:
Answer:
x = 
Step-by-step explanation:
Given function;
y = 5 + x - x²
To find the maximum value, follow these steps
(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;
=
= 
= 
(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.
x for which
1 - 2x = 0
=> 1 = 2x
=> x = 
Therefore, the value of x for which the function is maximum is 
Here we have three similar triangles
In similar triangles sides are in proportion
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse.


We cross multiply to solve for y

Taking root of both sides
y=8