Question

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

Answer 1

Answer:

Step-by-step explanation:

(a+b),b,(a-b) are in continued proportion

then, (a+b):b::b:(a-b)

(a+b)/b=b/(a-b)

(a+b)(a-b)=b²(by cross multiplying)

a²-b²=b²

a²/b²-b²/b²=b²/b²(dividing both side by b²)

a²/b²-1=1

a²/b²2=2(proved)