Question
Download Solution PDFयदि x + \(\frac{1}{x}\) = 9 है, तब x4 + \(\frac{1}{x^4}\) का मान ज्ञात कीजिए।
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFदिया गया है
(x + 1/x) = 9
प्रयुक्त अवधारणा
यदि (a + 1/a) = k
(a2 + 1/a2) = K2 - 2
गणना
(a2 + 1/a2) = K2 - 2
⇒ (x2 + 1/x2) = 92 - 2
⇒ (x2 + 1/x2) = 79
⇒ (x4 + 1/x4) = 792 - 2
⇒ (x4 + 1/x4) = 6241 - 2
⇒ 6239
व्यंजक का मान 6239 है।
Last updated on Jul 10, 2025
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