Question

if a2+1/a2=47 and a≠0 find a3+1/a3​

Answer 1

Answer:

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Answer 2

a² + 1/a² = 47

adding 2 both sides

a² + 1/a² + 2= 49

(a + 1/a)²= 49

a + 1/a = 7

cubing both sides we get

(a + 1/a)³ = 343

a³ + 1/a³ + 3(a+1/a)=343

a³ + 1/a³ +3×7 = 343

a³ + 1/a³ +21 = 343

a³ + 1/a³ =322