m-(1/m)=2 হলে, m4+(1/m4)=কত?
Solution
Correct Answer: Option A
দেওয়া আছে, m-(1/m)=2
⇒ (m-(1/m))^2 = 2^2 [বর্গ করে]
⇒ m^2 - 2 + (1/m^2) = 4
⇒ m^2 + (1/m^2) = 6
⇒ (m^2 + (1/m^2))^2 = 6^2[আবার বর্গ করে]
⇒ m^4 + 2 + (1/m^4) = 36
⇒ m^4 + (1/m^4) = 36 - 2
⇒ m^4 + (1/m^4) = 34.
⇒ (m-(1/m))^2 = 2^2 [বর্গ করে]
⇒ m^2 - 2 + (1/m^2) = 4
⇒ m^2 + (1/m^2) = 6
⇒ (m^2 + (1/m^2))^2 = 6^2[আবার বর্গ করে]
⇒ m^4 + 2 + (1/m^4) = 36
⇒ m^4 + (1/m^4) = 36 - 2
⇒ m^4 + (1/m^4) = 34.
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