if a+1/a=8 then find the value of a^6+1/a^6
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Step-by-step explanation:
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Answered by
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Answer:
-1
Step-by-step explanation:
First, multiply both sides by a to get rid of a in the denominator:
a-1 = (8a)/3
Multiply both sides by 3:
3a-3 = 8a
Subtract 3a from both sides:
5a = -3
Divide by 5:
a = -3/5
We’ll check our answer by substituting for a in the original equation, but this will work better if we convert -3/5 to its decimal form of -0.6
(-0.6–1)/-0.6 = 8/3
(-1.6)/-0.6 = 8/3
2.66 = approximately 8/3 (2.66 repeats without terminating).
((a^6)+1/(a^6) =
a^6 = 0.46656
-0.46656 / 0.46656 = -1
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