Question

Bilangan bulat a dan b yg memenuhi persamaan 1/a +1/(b+1)=1/2015 adalah

Answer 1

1/a +1(b+1)=1/2015
(1(b+1) + 1a)/ (a)(b+1) =1/2015
(b+2 +a)/(ab+a) = 1/2015
maka
b+2+a = 1
a+b=-1
a= -1-b
ab+a=2015
(-1-b)b +(-1-b)=2015
-b-b -1-b =2015
-3b-1=2015
-3b=2016
b=2016/-3
b= - 672

a=-1-b
a= -1- ( - 672 )
a= - 1 +672 = 671