Math, asked by ayishavafa1, 8 days ago

the arthamatic mean between a and b is​

Answers

Answered by visankreddy
2

Answer:

arithmetic mean between a and b = (a+b)/2

Answered by budhiraja0626
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:

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