Question

x+1/x=3, find x⁶+1/x⁶
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Answer 1

Answer:

X+1/X=3

(X+1/X)^2=3^2

=X^2+1/X^2+(2×X×1/X)=9

X^2+1/X^2+2=9

$X^2+1/X^2=7$

NOW ON SQUARING ABOVE EQUATION WE GET

X^4+1/X^4+(2×X^2×1/X^2)=49

X^4+1/X^4=47

(X+1/X)^6=3^6

(X^6+6×X^5×1/X)+(15×X^4×1/X^2)+(20×X^3×1/X^3)+(15×X^2×1/X^4)+(6×X×1/X^5)+1/X^6=729

WHICH ON SIMPLYFYING GIVES US

X^6+1/X^6=322

HERE YOUR ANSWER IS 322

DUDE I HAD TO SOLVE ALOT FOR THIS QUESTION YOU CAN ATLEAST BRAINLIEST ME WONT YOU.

Step-by-step explanation: