Wykaż, że jeśli a ≠ 0 i b ≠ 0 oraz a/b + b/a = 2, to a = b.
a ≠ 0 i b ≠ 0
a/b + b/a = 2
(a²+b²)/ab = 2 I*ab
a²+b² = 2ab
a²+b²-2ab = 0
a²-2ab+b² = 0
(a-b)² = 0 I()√
a-b = 0
a = b
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a ≠ 0 i b ≠ 0
a/b + b/a = 2
(a²+b²)/ab = 2 I*ab
a²+b² = 2ab
a²+b²-2ab = 0
a²-2ab+b² = 0
(a-b)² = 0 I()√
a-b = 0
a = b
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