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प्रश्न
Using properties of proportion solve:
`(k^5 + x^5)/(x^5 − k^5) = 122/121`
बेरीज
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उत्तर
Given
`(k^5 + x^5)/(x^5 − k^5) = 122/121`
Applying componendo and dividendo we get,
⇒ `((k^5+x^5)+(x^5−k^5))/((k^5+x^5)−(x^5−k^5)) = (122+121)/(122−121)`
⇒ `(k^5 + x^5 + x^5 - k^5)/(k^5 + x^5 + x^5 - k^5) = 243/1`
⇒ `(2x^2)/(2k^2) = 243/1`
⇒ `(x/k)^5 = (3)^5`
⇒ `x/k = 3`
⇒ x = 3k
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