If a3 + 3a2
+ 3a4 + 9a – 1 = 0, then the value of
a3+
3/a
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Step-by-step explanation:
Given:-
a3+3a2+9a=1
Take ‘ a’ as common:-
a(a2+3a+9)=1
Dividing both sides by a:
⟹a(a2+3a+9)a=1a
⟹a2+3a+9=1a
⟹1a=a2+3a+9
Multiplying both sides by 3:-
⟹3a=3a2+9a+27⟹(1)
We know that:-
a3+3a2+9a=1
Subtracting both sides by : 3a2+9a we get:-
a3=1–3a2–9a⟹(2)
Adding (1) and (2) we get:-
⟹a3+3a=3a2+9a−3a2−9a+27+1
⟹a3+3a=27+1⟹28.
That’s the answer:-28
Hope it helps:-)
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