Question

If (a+b) ,b and (a-b) are in continuous proportion , show that a²/b²=2

Answer 1

Answer:

a+b, b, a-b are in continued proportion then

b^2 =(a+b) (a-b) =a^2 - b^2

2 b^2 =a^2

a^2 /b^2 =2