00:01
It gives you the equation e x squared minus 5 equals e x minus 2.
00:13
Because your bases are the same, your exponents would have to be the same.
00:17
So x squared minus 5 is going to equal x minus 2.
00:21
This is a quadratic, so you need to get it equal to 0.
00:23
So i'm going to subtract x and add two to both sides.
00:28
So x squared minus x.
00:38
Minus 3 equals 0 and that's going to give us a nasty little quadratic and it says results so we're going to go to the quadratic thing now so negative b which is negative 1 plus or minus the square root negative 1 squared minus 4 times 1 times a over 2 times 1 so 1 plus or minus the square root of 1 plus 12 over 2 so 1 plus or minus the square root of 13 over 2 so you need to do 1 plus 3 3 3 over 2 and 1 minus root 13 over 2 so in the calculator, one plus square root 13 over two to three decimal places.
01:59
Is that what it told us to go? yes, three decimal places will be 2 .303.
02:10
So 2 .03, oh, 303, my bad...