00:01
Solve the equation below for x and identify all extraneous solutions.
00:05
To do so, we want to eliminate the fractions.
00:08
So first thing i'm going to do is factor this trinomial, and this will factor down into x minus 1 and x minus 3, which means i have a least common denominator of x minus 1 and x minus 3.
00:26
So i'm going to multiply everything each term in this equation by x minus 1 and x minus 3.
00:38
Make sure that you go ahead and write this out by each term, it will make things easier.
00:43
So now i'm going to reduce the fractions.
00:46
Here my x minus 1s will eliminate.
00:48
Here my x minus 3s will eliminate.
00:51
And here my x minus 1s and x minus 3s will eliminate.
00:56
We don't look at this expression anymore because we're looking at it in factored form.
01:00
What we're left with is 2x.
01:03
X minus 3 plus 1 x minus 1 equals 2 which we can solve.
01:11
So this will become distributing my 2x.
01:14
I'm going to have 2x squared minus 6x plus x minus 1 equals 2...