Question

If the geometric mean of x,9,12 be 6,find the value of x.​

Answer 1

3

it can be correct answer

Answer 2

Answer:

The value of x = 2

Given problem:

If the geometric mean of x, 9, 12 be 6, find the value of x.​

Step-by-step explanation:  

given data = x, 9, 12

Geometric mean of the data = 6

here we need to find the value of x

Geometric mean of the data  $\sqrt[3]{ x (9) (12) } = 6$          

                                        =>  $( x (9)( 12 )) ^{\frac{1}{3} } = 6$      

do cubing on both sides                                        

                                        =>    [108x] $^{\frac{1(3)}{3} }$ = 6³        

                                        =>    108x =  6³    

                                        =>    108x = 216

                                                     x = 216 / 108 = 2