Question

If 15a²+4b²/15a²-4b²=47/7 then find the values of b²-2a²/b²+2a²​

Answer 1

(15a²+4b²) / (15a²-4b²) = 47/7

(15a²+4b²)+(15a²-4b²)/(15a²+4b²)-(15-4b²)= (47+7)/(47-7)

(15a²+4b²+15a²-4b²)/(15a²+4b²-15a²-4b²)=54/40

30a²/ 8b²= 54/40

a²/b² = 54×8/40×30

a²/b² = 9/25 ( taking square root)

a/b = 3/5 .