If x + 1/x = 2 , prove that (x)^2 + 1/(x)^2 = (x)^3 + 1/(x)^3 = (x)^4 + 1/(x)^4 .

Question

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We know that, . Substituting values we get, ........(i) We know that, Substituting values we get, .......(ii) We know that, Substituting values we get, ...........(iii) From (i), (ii) and (iii), Hence proved, when

Mathematics

If x + 1/x = 2 , prove that (x)^2 + 1/(x)^2 = (x)^3 + 1/(x)^3 = (x)^4 + 1/(x)^4 .

Expansions

Related Questions

If a + 2b = 5, prove that a³ + 8b³ + 30ab = 125.

Mathematics

If x + 1/x = 2 , prove that (x)^2 + 1/(x)^2 = (x)^3 + 1/(x)^3 = (x)^4 + 1/(x)^4 .

Expansions

Related Questions

If a + 2b = 5, prove that a3 + 8b3 + 30ab = 125.

If a + 2b = 5, prove that a³ + 8b³ + 30ab = 125.