Question

If x is the geometric mean of 25 & 4, then find the value of x

Answer 1

Answer:

10

Step-by-step explanation:

geometric mean : if two numbers a and b are given then geometric mean of these two number is square root of their product.

e.g., geometric mean , G.M = \sqrt{ab}

ab

Here , x is geometric mean of 25 and 4

then, x =\sqrt{25\times4}=\sqrt{100}=10

25×4

=

100

=10

2nd method : x is geometric mean of 25 and 4

means, 25 , x , 4 are in Geometric progression.

we know, common ratio of geometric progression always remains constant .

so, x/25 =4/x

x² = 25 × 4

x = 10