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Given Equation is a^2 + 1/a^2 = 47.
a^2 + 1/a^2 + 2 = 49
(a + 1/a)^2 = 49
a + 1/a = 7.
Therefore a + 1/a = 7.
(ii)
(a + 1/a)^3 = a^3 + 1/a^3 + 3(a + 1/a)
(7)^3 = a^3 + 1/a^3 + 3(7)
343 = a^3 + 1/a^3 + 21
343 - 21 = a^3 + 1/a^3
322 = a^3 + 1/a^3.
Hope this helps!
a^2 + 1/a^2 + 2 = 49
(a + 1/a)^2 = 49
a + 1/a = 7.
Therefore a + 1/a = 7.
(ii)
(a + 1/a)^3 = a^3 + 1/a^3 + 3(a + 1/a)
(7)^3 = a^3 + 1/a^3 + 3(7)
343 = a^3 + 1/a^3 + 21
343 - 21 = a^3 + 1/a^3
322 = a^3 + 1/a^3.
Hope this helps!
siddhartharao77:
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