Question

if m=1+√2, then find the value of m²-1/m²​

Answer 1

Step-by-step explanation:

(i) m2 + (1/m2) = (m – (1/m))2 + 2

= (5)2 + 2 = 25 + 2 = 27

(ii) m4 + (1/m4) = (m2 + (1/m2)2 – 2

= (27)2 – 2 = 729 – 2 = 727

(iii) m2 – (1/m2) = (m + (1/m)) (m – (1/m))

= 5(m + (1/m))

Now, (m + (1/m))2 = (m – (1/m))2 + 4

= (5)2 + 4 = 25 + 4 = 29

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