find x and x is not equal to zero
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Answer:
x= 1/3 or x=3
Step-by-step explanation:
x2 + 1/x2 = 82/9
(x4 + 1)/x2 = 82/9
9(x4 + 1) = 82× x2
9x4 + 9 = 82 x2
9x4 -82x2 +9 = 0
9x4 -81x2 -1x2 +9 = 0
9x2(x2-9) -1(x2-9) = 0
(9x2-1) (x2-9) = 0
9x2-1 = 0 or x2-9 = 0
9x2= 1. or x2 = 9
x2= 1/9 or x2 = 9
therefore,, x= 1/3 or x= 3
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