the arthamatic mean between a and b is
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Answered by
2
Answer:
arithmetic mean between a and b = (a+b)/2
Answered by
0
Answer:
Arithmetic mean between a and b is given by
A.M=
2
a+b
Geometric mean between a and b is given by
G.M=
ab
Now, it is given that A.M.=2G.M.
2
a+b
=2
ab
Squaring both sides, we get
(a+b)
2
=16ab
⇒a
2
+b
2
−14ab=0
a=
2
14b±
196b
2
−4b
2
⇒a=7b±
49b
2
−b
2
⇒a=7b±4b
3
⇒a:b=7±4
3
⇒a:b=7+4
3
or a:b=7−4
3
⇒a:b=(2+
3
):(2−
3
) or a:b=(2−
3
):(2+
3
)
The hypothesis is true only when a is greater of two numbers.
Then, a:b=(2+
3
):(2−
3
)
Step-by-step explanation:
Mark as a brainalist answer
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