(x2 + 1)2 = 5x2 হলে x - 1/x এর মান কোনটি?

A √5

B 1

C 2√2

D 8

Solution

Correct Answer: Option B

দেওয়া আছে,
   (x+ 1)2=5x²
বা,x²+1=√5x
বা,(x²+1)/x=√5
বা,x + 1/x =√5
বা, (x-1/x)² =(x+1/x)²-4.x.1/x
                  =(√5)²-4
                  =5-4
                  =1

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