Answer:
36
Step-by-step explanation:
Calculation to Find two positive numbers
First step
Let the first positive number be a
Let the second positive number be b
Second step is to create the Equation
a^2+b= 54....... Equation (1)
b = 54-a^2........ Equation (2)
Third step is to find the product
Product= a(54-a)^2 = 54a-a^3
Fourth step is to differentiate
dP/dx = 54-3a^2
dP/dx = 0
Fifth step is to solve for 54-3a^2 = 0
Hence,
3a^2=54
a^2 = 18
Last step
a= √(18)
b= 54-(√(18))^2
b=54-18
b = 36
Therefore the two positive numbers are 36
