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Show that if 2 (a2 + b2 ) = (a + b)2 then a = b |
Answer» Given that 2 (a2 + b2 ) = (a + b)2 To prove a = b As 2 (a2 + b2 ) = (a + b)2 We have 2a2 + 2b2 = a2 + 2ab + b2 2a2 – a2 + 2b2 – b2 = 2ab a2 + b2 = 2ab This is possible only when a = b ∴ a = b |
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