Question
Download Solution PDFदो क्रमागत विषम संख्याओं का गुणनफल 6723 है। बड़ी संख्या क्या है?
Answer (Detailed Solution Below)
Detailed Solution
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दो क्रमागत विषम संख्याओं का गुणनफल 6723 है।
प्रयुक्त सूत्र:
(a + b)(a - b) = a2 - b2
गणना:
मान लीजिए छोटी संख्या 2x - 1 है और बड़ी संख्या 2x + 1 है।
(2x - 1)(2x + 1) = 6723
⇒ (2x)2 - 12 = 6723
⇒ 4x2 - 1 = 6723
⇒ 4x2 = 6724
⇒ x2 = 6724 / 4
⇒ x2 = 1681
⇒ x = √1681
⇒ x = 41
बड़ी संख्या (2x + 1):
2x + 1 = 2(41) + 1
⇒ 82 + 1 = 83
∴ बड़ी संख्या 83 है।
Last updated on Jul 4, 2024
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