Question
Download Solution PDFयदि दो संख्याओं का अंतर 4 है और उनका गुणनफल 32 है, तो उनके घनों के बीच पूर्ण अंतर कितना है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
दो संख्याओं का अंतर 4 है।
दो संख्याओं का गुणनफल 32 है।
गणना:
माना दो संख्याएँ क्रमशः x और y हैं।
इसलिए, दिए गए प्रश्न के अनुसार,
x - y = 4 ⇔ x = 4 + y
साथ ही, x y = 32
⇒ (4 + y) × y = 32
⇒ y2 + 4y - 32 = 0
⇒ y2 + 8y - 4y -32 = 0
⇒ y (y + 8) - 4 (y +8) = 0
⇒ ( y - 4) ( y + 8) = 0
⇒ y = 4 [y का मान - 8 नहीं हो सकता, क्योंकि यह ऋणात्मक है]
अब, x = 4 + y
x= 4 + 4 = 8
उनके घनों में अंतर = 83 - 43
⇒ 512 - 64 = 448
अत: उनके घनों में अंतर 448 है।
Last updated on Jul 18, 2025
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