If a²+1/a²=47 and a is not equal to 0 then find a³+1/a³=47
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Answer:
322
Step-by-step explanation:
a^2 + 1/a^2 = 47
a^2 + 1/a^2 +2 = 49
(a + 1/a)^2 = 49
a + 1/a = 7
a³ + 1/a³ = (a + 1/a)(a² + 1/a² - a * 1/a)
=> 7(47 - 1) (as a² + 1/a² = 47)
=> 7 *46 = 322
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