Question

what can i use componendo and dividendo for???

Answer 1

it is theorem in which the denominator is added to the numerator & numerator is added with negative denominator.

Answer 2

e. g. ->
if x/y = a/b then by componendo & dividendo we have
( x + y) /( x- y ) = ( a +b )/ ( a - b )

\[\frac{x}{y}=\frac{a}{b}\]
\[\frac{x+y}{x-y}=\frac{a+b}{a-b}\]

Answer 3

you can just use it for simplification,,it doesnt has wide applications..suppose you have some eqn and it takes you 2 steps 2 solve it,,CD shall cut it down to 1 step..thats all..
even if you dont use it,it doesnt matter much..

Answer 4

proof;-----------
3/2 = 6/4 then by componendo & dividendo
3+ 2/ 3- 2 = 6 +4/ 6- 4
OR 5/ 1 = 10/ 2

Answer 5

what sort of equation/problem???

Answer 6

not any particular, mostly for fraction type

Answer 7

that wasnt a proof//that was just an example !!

proof would be something like

a/b = c/d ..(1)

add one to both sides
=> (a+b)/b = (c+d)/d

and subtracting 1 from both sides in (1),
(a-b)/b = (c-d)/d

and dividing the 2 new eqns,,we get out compenendo dividendo !

Answer 8

and you may use it in questions like

(x+1)/(x-1) = 5

if you use CD here,you get

2x/2 == 6/4

i.e. x =3/2

see,,you get your ans directly using CD..