a^3 + 3a ^2 + 9a = 1 then a^3 + 3/a=?
Answers
Answered by
1
Answer:
28
Step-by-step explanation:
Here, the given equation is,
a^3+3a^2+9a=1a
3
+3a
2
+9a=1 ------ (1)
3a\times (a^3+3a^2+9a)=33a×(a
3
+3a
2
+9a)=3
3a^4+9a^3+27a^2=3a3a
4
+9a
3
+27a
2
=3a
3a^4+9(a^3+3a^2)=3a3a
4
+9(a
3
+3a
2
)=3a
By the equation (1)
3a^4+9(1-9a)=3a3a
4
+9(1−9a)=3a
3a^4+9-81a=3a3a
4
+9−81a=3a
3a^4+9 = 84a3a
4
+9=84a
By dividing each term by 3a,
a^3+\frac{3}{a}=28a
3
+
a
3
=28
Hence, the required answer is 28.
Answered by
0
Answer:
817 is the answerit may help you
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