Question

The geometric mean of x and 5 is 15. find the value of x?

Answer 1

In equation form:
\[\sqrt{x \cdot 5 } =15\]

Answer 2

do you know how to solve that for x?

Answer 3

would it be 3 or 5 square root 3 ?

Answer 4

Geometric mean 'G' of 'n' number \(a_1,a_2,a_3,......,a_n\) is:
\[G =\sqrt[n]{a_1\times a_2 \times a_3 \times...... \times a_n}\]

Answer 5

Here you have 2 nos., 'x' and '5', whose GM is '15'.

So, \(15 = \sqrt{x \times 5}\)
Square both sides,
15 x15 = x * 5

Can you find 'x' from this?

Answer 6

so x is 3?

Answer 7

Nope.
Divide both sides by '5' to calculate 'x'.

Answer 8

so x is 5 square root 3?

Answer 9

Umm no.

\[15 \times 15 = x \times 5\]
\[or,\frac {225}{5} = x\]


Now can you find 'x'?

Answer 10

no , i can't !!!!

Answer 11

jk , it's 45 , right ?

Answer 12

Wrong!!!

Answer 13

Jk, It's right!! :D