Quote (xaz @ Jan 17 2019 06:37am)
1 more:
x-6/2x^2+10x+12
we start by putting =0 in the denomineter.
2x^2+10x+12=0
now how to go from here? I don't know how I'm supposed to calc it.
What is the question asking exactly?
You have a few methods for solving
2x^2+10x+12=0
I would suggest factoring and getting the practice.
I would start by factoring out a 2 from each term because I realize they are all even and divisible by 2
2(1x^2 +5x+6)=0
You can now factor the quadratic (or use the quadratic formula)
We want factors of ac=(1)(6)=6 that add to b=5
We list factor pairs until we find one that satisfies
1,6 (does not add to 5)
2,3 (2*3=6 and 2+3=5)
We can then rewrite the quadratic with 2x+3x instead of 5x
we have
2(X^2 +2x + 3x + 6)=0
Group the first and last two terms
2((x^2 +2x )+ (3x + 6))=0
Factor out x from the first paraenthesis and 3 from the second to get
2( x (x+2) + 3(x+2) )=0
We can rewrite as
2 (x+3)(x+2)=0
We can use the zero product property to set each oaraenthesis equal to zero
X+3=0. X+2=0
X=-3. X=-2. These would be your two undefined values or your vertical asymptotes depending on what you are actually trying to find.