1.

यदि a + b ≠ 0 तब सिद्ध कीजिए कि समीकरण a(x – a) = 2ab – b(x – b) का हल x = a + b होता है|

Answer»

∵ a(x – a) = 2ab – b(x – b)

⇒ ax – a2 – 2ab + bx – b2 = 0

x(a + b) = a2 + b2 + 2ab

x(a + b) – (a + b)2 = 0

(a + b){x – (a + b)} = 0

a + b ≠ 0 अत: x – (a + b) = 0

x = (a + b)



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