Question

Solve for x.

in comments...

Answer 1

6 over x = x over 12

Answer 2

possible answers...

36

72

\[2\sqrt{6}\]

\[6\sqrt{2}\]

Answer 3

I don't understand how to do the x * x I understand to cross multiply 6 and 12 to get 72 but thats it...

Answer 4

\[\frac{ 6 }{ x } = \frac{ x }{ 12}\]

Answer 5

also how do you get a geometric mean? I partially understand it but my lessons arn't very detailed :L

Answer 6

Right! So cross multiply:
You get 6 * 12 and x * x

6 * 12 = 72
x * x = x^2

x^2 = 72

You have to find the largest perfect square that goes into 72 to find x.
36 is a perfect square. Multiply 36 by 2 to get 72.
sqrt 36 is 6.
So 6 √2

Answer 7

what makes a square a perfect square? and Thanks!