Question #42cd3

1 Answer
Feb 10, 2016

If F != f_1

f_2=(Ff_1)/(f_1-F)

Explanation:

If F != f_1 (to avoid dividing by 0)

F = (f_1f_2)/(f_1+f_2)

=>F(f_1+f_2)=f_1f_2

=>Ff_1 + Ff_2 = f_1f_2

=>Ff_2-f_1f_2 = -Ff_1

=>f_2(F-f_1)=-Ff_1

:.f_2=-(Ff_1)/(F-f_1)=(Ff_1)/(f_1-F)