x+(1/x) = 4, x/(x²+x−1) এর মান কত?
Solution
Correct Answer: Option D
[Note: সঠিক উত্তর 2+√3/8+5√3 ]
x+(1/x) = 4 ...(i), x-(1/x) = √(x+1/x)^2 - 4.x.1/x = √4^2 - 4 = √12 = 2√3 ...(ii)
(i), (ii) যোগ করে পাই => 2x = 4+2√3
=> x = 2+√3
প্রদত্ত রাশিঃ x/ (x^2+x-1)
= 2 + √3 / (2+√3)^2 + 2 + √3 - 1
= 2+√3/8+5√3
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