Question
Download Solution PDFजर a + b + c = 14, ab + bc + ca = 47 आणि abc = 15, तर a3 + b3 +c3 = ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिलेले आहे:
a + b + c = 14, ab + bc + ca = 47 आणि abc = 15
वापरलेली संकल्पना:
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
∴ योग्य उत्तर पर्याय 1 आहे.
Last updated on Jun 25, 2025
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