If x + 1/x =4, find the value of (i) x2 +1/x2 (ii) x4 +1/x4
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Answer:
(i) 14
(ii) 194
Step-by-step explanation:
x+1/x=4
squaring both sides
(i) (x+1/x)²=16
x²+1/x²+2.x.1/x=16
x²+1/x²+2=16
x²+1/x²=16-2
x²+1/x²=14.
squaring both sides
(x²+1/x²)²=196
x⁴+1/x⁴+2x².1/x²=196
x⁴+1/x⁴+2=196
x⁴+1/x⁴=196-2
x⁴+1/x⁴=194
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Step-by-step explanation:
this is the answer hope it helps you mark me brainlist
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