Question
Download Solution PDFa3 + b3 और a2 + ab + b2 का तृतीयानुपाती, जब a = 2 और b = 3 है:
(दशमलव के 2 स्थानों तक सही)
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है:
a = 2
b = 3
अवधारणा:
हमें a3 + b3 और a2 + ab + b2 का तृतीयानुपाती ज्ञात करना होगा।
हल:
⇒ पहली और दूसरी संख्या प्राप्त करने के लिए दो व्यंजकों में a और b को रखिये।
⇒ पहली संख्या = a3 + b3 = 23 + 33 = 8 + 27 = 35
⇒ दूसरी संख्या = a2 + ab + b2 = 22 + 2*3 + 32 = 4 + 6 + 9 = 19
⇒ दो संख्याओं (x और y) का तृतीयानुपाती (T), सूत्र T = (y2)/x द्वारा दिया जाता है
तो, पहली और दूसरी संख्या को प्रतिस्थापित करने पर:
⇒ T = (192)/35 = 10.31
इसलिए, a3 + b3 और a2 + ab + b2 का तृतीयानुपाती, जब a = 2 और b = 3 है, लगभग 10.31 है। (दशमलव के 2 स्थानों तक सही)
Last updated on Jun 12, 2025
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