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Arithmetic Mean

If the arithm...

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If the arithmetic mean of two numbers a and b,is five times their geometric mean,a+b/a-b is equal to

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Q. If the arithmetic mean of two numbers a and

b, a > b > 0

, is five times their geometric mean, then

\frac{a + b}{a - b}

Q. Two numbers a and b have arithmetic mean 40 and geometric mean is 24. If a > b, then a is

Q. If the arithmetic mean of two positive numbers x and y , where (x > y), is twice their geometric mean then a : b =

_____

Q. Arithmetic mean of two numbers is

a

and their geometric mean is

b

. Show that these numbers are

a + \sqrt{a^{2} - b^{2}}

a - \sqrt{a^{2} - b^{2}}

△ A B C

a

is the arithmetic mean and b & c

(b \neq c)

are two geometric means between any two positive real numbers, then

\frac{{sin}^{3} B + {sin}^{3} C}{sin A sin B sin C}

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