Question
Download Solution PDFदोन दिलेल्या नैसर्गिक संख्यांच्या घनांमधील फरक 6272 आहे, तर दोन दिलेल्या संख्यांमधील धनात्मक फरक 8 आहे. दिलेल्या दोन संख्यांचा गुणाकार किती आहे?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिले:
दिलेल्या दोन नैसर्गिक संख्यांच्या घनांमधील फरक 6272 आहे
वापरलेली संकल्पना:
x 3 - y 3 = (x - y)((x + y) 2 - xy)
गणना:
दोन संख्या x आणि y असू द्या.
x 3 - y 3 = (x - y)((x + y) 2 - xy )
⇒ 6272 = 8(8 2 + 3xy )
⇒ ७८४ = (६४ + 3xy)
⇒ 784 - 64 = 3xy
⇒ 720 = 3xy
⇒ xy = 720/3
⇒ xy = 240
मूल्य 240 आहे.
Last updated on Jul 7, 2025
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