Question

.If a and b are two positive numbers then what is A.M and GM of two numbers?​

Answer 1

Answer:

We have,

2

a+b

=10 and

ab

=8⇒a+b=20 and ab=64

Clearly,a and b are roots of the equation

x

2

−(a+b)x+ab=0

or, x

2

−20x+64=0

⇒(x−16)(x−4)=0⇒x=4,16⇒a=4,b=16 or a=16,b=4