Question

Daca a/b =5/12 aflati valoarea rapoartelor:
a. a+b/2a
b. a+2b/5a-2b
c. a la puterea 3 + b la puterea 3/a la puterea 2b+ab la puterea 2

Answer 1

a/b = 5/12 ==>  5b=12a ==> a= 5b/12   sau  b = 12a/5

a) (a+b)/2a =  (a+ 12a/5) / 2a  --> amplific a cu 5 

==> (17a/5) /2a , a cu a se reduc ==> 17/5*2 = 17/10

b) a+2b/5a - 2b = [a + 2(12a/5) ] / [ 5a-2(12a/5) ]

amplific a cu 5 in embele paranteze ==>

( 5a/5+24a/5 ) / ( 25a/5 - 24a/5 ) = ( 29a/5 ) / ( 1*a/5)     5 cu 5 se reduc, a cu a la fel  ==> = 29/1 = 29