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(36, a, b) - liczby te tworzą ciąg geometryczny,
więc: a/36 = b/a
a² = 36b
(36, a, b-4) - liczby te tworzą ciąg arytmetyczny,
więc: a - 36 = b - 4 - a
b = 2a - 32
a² = 36b
b = 2a - 32
a² = 36(2a - 32)
a² - 72a + 1152 = 0
Δ = 5184 - 4608
Δ = 576, √Δ = 24
a = (72 - 24)/2 lub a = (72 + 24)/2
a = 24 lub a = 48
b = 16 lub b = 64