00:02
Given supply is p equals the square root of 0 .1 q plus 9 minus 2 and demand is p equals a square to 25 minus 0 .1 q.
00:12
We're going to find the equilibrium demand.
00:14
The equilibrium demand is where demand equals supply.
00:18
So we get the square root of 0 .1q plus 9 minus 2 equals the square root of 25 minus 0 .1 q.
00:27
I'm going to square both sides.
00:29
This is going to help me start to get rid of those square roots and we get 0 .1 q plus 9 minus 4 times the square root of 0 .1 q plus 9 plus 4 equals 25 minus 0 .1 q.
00:46
I'm going to subtract 0 .1 q from both sides.
00:50
I'm also going to combine my like terms of 9 and 4 and i get 13 minus 4 square root of 0 .1 q plus 9 equals 25 minus 5 .5.
01:04
Minus 0 .2q.
01:07
I'm going to subtract 13 from both sides.
01:10
We get negative 4 times the square out of 0 .1 q plus 9 equals 12 minus 0 .2q.
01:19
We're going to square both sides so we can get rid of that last square root.
01:23
And i get 16 times the 0 .1 q plus 9 equals 144 minus 4 .8 q.
01:36
Plus 0 .04q.
01:45
16 times 0 .1, we get 1 .6.
01:52
So i get 1 .6 q plus 144 equals 144.
01:59
I'm going to subtract 1 .6q from both sides.
02:05
And this gives me negative 6 .4q plus 0 .04q plus 0 .04 q squared...