if x=1/4-x find the values of:–
1. x+1/x
2. x³+1/x³
3. x^6+1/x^6
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Step-by-step explanation:
1. x + 1/x
= 1/4 - x + 1/ 1/4 - x
= 1/4- x + 1/4 - x
= 1/4- x + 1/4 - x cancel
= 1/2 - 2x
2. ( 1/4 - x ) ³ + 1/ (1/4 -x) ³
= 1/64-x³ + 1 / 1/64 -x ³
= 2/64 - 2x³
= 1/ 32 -2x³
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