Question

if A. M and G. M between a and b are equal, then find (a-b) 2​

Answer 1

Step-by-step explanation:

Given that,

2A=a+b,

G

2

=ab

Now,

x

2

−2Ax+G

2

=0

On substituting the values, we get

x

2

−(a+b)x+ab=0,

x

2

−ax−bx+ab=0,

x(x−a)−b(x−a)=0,

(x−a)(x−b)=0,

x=a,b

Hence proved.