Question
Download Solution PDFIf m + \({{1} \over m \ - \ 2}\) = 4, then find the value of (m - 2)2 + \({{1} \over (m \ - \ 2)^2}\).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
m + \({{1} \over m \ - \ 2}\) = 4
Concept used:
(a + b)2 = a2 + b2 + 2ab
Calculation:
m + \({{1} \over m \ - \ 2}\) = 4
⇒ (m - 2) + \({{1} \over (m \ - \ 2)}\) = 2
⇒ (m - 2)2 + \({{1} \over (m \ - \ 2)^2}\) + 2 × (m - 2) × \({{1} \over (m \ - \ 2)}\) = 4
⇒ (m - 2)2 + \({{1} \over (m \ - \ 2)^2}\) = 4 - 2
⇒ (m - 2)2 + \({{1} \over (m \ - \ 2)^2}\) = 2
∴ The required answer is 2.
Last updated on Jul 19, 2025
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