Question

if a,b,c are in continued proportion prove that a²+ab+b²/b²+bc+c²=a/c​

Answer 1

Step-by-step explanation:

a , b,c Are in continued proportion

=> a:b::b:c

=> b²=ac

lhs:

a²+ab+b²/ b²+bc+c²

replace b²=ac

a²+ab+ac/ac+bc+c²

=a(a+b+c)/c(a+b+c)

= a/c (rhs)