Question

Find two numbers whose difference is 188 and whose product is a minimum. (smaller number) (larger number)

Answer 1

Answer:

94 & -94

Step-by-step explanation:

Given :-

• Difference of two numbers is 188 .

To find :-

• Two numbers such that their product is Minimum .

Solution :-

Let the first number be x , then the second number will be , 188+x .

Product :-

→ x ( 188+ x )

→ x² + 188x

→ y = x² + 188x ( let)

We know that ,

• At minima of the function , dy/dx = 0

Differenciate wrt x ,

• dy/dx = d( x² + 188x )/dx
• 0 = 2x + 188
• 2x = -188
• x = -188/2
• x = -94

Therefore ,

• Numbers = 94 & -94