- Joined
- Jun 27, 2021
- Messages
- 5,386
- Reaction score
- 422
Revisiting precalculus just for fun.
Enjoy.
Enjoy.
1/x=1/a+1/b.........common denominator is ab
1/x=b/(ab)+a/(ab)
1/x=(b+a)/(ab)..........cross multiply
ab=x(b+a)........isolate x
x=(ab)/(b+a)
check:
1/x=1/a+1/b......substitute x
1/((ab)/(b+a))=1/a+1/b
(b+a)/(ab)=1/a+1/b
b/(ab)+a/(ab)=1/a+1/b
1/a+1/b=1/a+1/b-> confirmed