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xy = 240
x( x+8)= 240
x² +8x -240=0
(x +20) (x - 12)
20 dan 12
a > b
Dik: a - b = 8
ab = 240
Dit: a = ...?
b = ...?
Jwb:
a - b = 8
a = b + 8
a.b = 240
(b+8).b = 240
b² + 8b = 240
b² + 8b - 240 = 0
(b + 20).(b - 12) = 0
b + 20 = 0 atau b - 12 = 0
b = -20 b = 12
(tidak
memeuhi
syarat)
-20 ∉ cacah
a - b = 8
a - 12 = 8
a = 8 + 12
a = 20
Jadi, bilangan yang dimaksud adalah 20 dan 12