Question

if x is the geometric mean of 4 and 36 then find the value of x​

Answer 1

Answer:

x = 12

Step-by-step explanation:

Given,

'x' is the geometric mean of 4 and 36

To Find :-

Value of 'x'

Solution :-

Important Point:-

If 'b' is the geometric mean of a and c.

$\implies \: {b}^{2} = a \times c$

Similarly Here they gave, 'x' is the geometric mean of 4 and 36:-

$\implies {x}^{2} = 4 \times 36$

${x}^{2} = 144$

$x = \sqrt{144}$

$x = \pm12$

As, Geometric mean is always positive , we need to take only positive value of 'x'.

$\therefore \: x = 12$