if a²+1/a = 11 , how much is a⁴+1/a²
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Step-by-step explanation:
Given,
a²+1/a=11
(a²+1/a)²=(11)²
a⁴+1/a²+2×a²×1/a=121
a⁴+1/a²+2a=121
a⁴+1/a²+a=121/2
a⁴+1/a²=121/2-a
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