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in Mathematics by (68.5k points)

ऐसी दो धन संख्याएँ x और y ज्ञात कीजिए जिनका योग 35 हो और गुणनफल x2y5 उच्चतम हो।

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दो धन संख्याएँ x, y हैं।

दिया है, x + y = 35

⇒ y = 35 – x …(1)

प्रश्नानुसार, माना गुणनफल p = x2y5 …(2) 

समीकरण (1) से y का मान समीकरण (2) में रखने पर, 

p = x2 (35 – x)5 

दोनों पक्षों का x के सापेक्ष अवकलन करने पर,

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