If a=2,b=-3 and c=0,find the value of a²+3c-4ab³
Answers
Answered by
0
a+b+c=3,
we need a
2
.b
3
.c
2
,
so, a+b+c=3,
2
a
+
2
a
+
3
b
+
3
b
+
3
b
+
2
c
+
2
c
=3,
Now we use AM-GM,
7
2
a
+
2
a
+
3
b
+
3
b
+
3
b
+
2
c
+
2
c
=(
2
2
a
2
×
3
3
b
3
×
2
2
c
2
)
7
1
(
7
3
)
7
≥
2
2
×3
3
×2
2
(a
2
b
3
c
2
)
,a+b+c=3,
we need a
2
.b
3
.c
2
,
so, a+b+c=3,
2
a
+
2
a
+
3
b
+
3
b
+
3
b
+
2
c
+
2
c
=3,
Now we use AM-GM,
7
2
a
+
2
a
+
3
b
+
3
b
+
3
b
+
2
c
+
2
c
=(
2
2
a
2
×
3
3
b
3
×
2
2
c
2
)
7
1
(
7
3
)
7
≥
2
2
×3
3
×2
2
(a
2
b
3
c
2
)
,
7
7
3
10
×2
4
≥a
2
b
3
c
2
,
7
7
3
10
×2
4
≥a
2
b
3
c
2
,
Answered by
1
_227 is answer I hope you
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