if x²+1/x²=9 find the value of x²+1/x⁴
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Answer:
x²+1/x² = 9
squaring both sides
x+1/x = 3
x+1 = 3x
2x= 1
x =1/2
x²+1/x⁴
1/4 + 16
(1 + 64)/ 4
65/ 4
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