Question

if x²-7x+1=0 find x³+1/x³​

Answer 1

x² + x + 1 = 0

multiply with (x-1) both sides:

(x-1)(x² + x + 1) = (x-1) 0  

x³ - 1 = 0  

x³ = 1

x³ + 1/x³ = 1 + 1/1 = 2  

=8

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