Question

Semua pasangan bilangan asli a dan b yang memenuhi a²-b²=1991 adalah..

Answer 1

1991 = 1 x 1991
1991 = 11 x 181
ada 2 pasang
.
a² -b² = 1991
(a+b)(a-b) = 1991
a+b = 1991
a- b = 1
(a,b)= (996, 995)


a+b = 181
a-b = 11
2b = 170
b = 85
a = 96
(a,b) = (96, 85)