Question
Download Solution PDFयदि a + b + c = 14, ab + bc + ca = 47 और abc = 15 है, तब a3 + b3 +c3 का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
a + b + c = 14, ab + bc + ca = 47 और abc = 15
प्रयुक्त अवधारणा:
a³ + b³ + c³ - 3abc = (a + b + c) × [(a + b + c)² - 3(ab + bc + ca)]
गणना:
a³ + b³ + c³ - 3abc = 14 × [(14)² - 3 × 47]
⇒ a³ + b³ + c³ – 3 × 15 = 14(196 – 141)
⇒ a³ + b³ + c³ = 14(55) + 45
⇒ 770 + 45
⇒ 815
∴ विकल्प 1 सही विकल्प है।
Last updated on Jul 2, 2025
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