Answer:
Step-by-step explanation:
Answer:
Exact form:
![x=\sqrt{17} +3,-\sqrt{17} +3](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B17%7D%20%2B3%2C-%5Csqrt%7B17%7D%20%2B3)
Step-by-step explanation:
Take the root of both sides and solve.
I assume the equation described is:
( x + 6 ) / ( x^2 - 64 )
You can compare the degree of the numerator and denominator in a function that takes the form of this type of rational equation.
Here are the three rules
#1 (Correct Answer): When the degree of the numerator is smaller then the denominator the horizontal asymptote is y = 0
#2 If the degree of the numerator and denominator is the same, then you take the leading coefficient of the numerator (n) and denominator (d) to create the answer y = n / d in this equations case it would be 1 / 1 since variables technically have an invisible 1 in front of them since anything multiplied by 1 is its self, 1x = x
#3 When the degree of the numerator is greater then the degree of the denominator then this means that it does not have a horizontal asymptote.
Again the final answer is that the horizontal asymptote is y = 0
Hey!
Let's write the problem.
![2x-4-5x=2](https://tex.z-dn.net/?f=2x-4-5x%3D2)
Add like terms...
![-3x-4=2](https://tex.z-dn.net/?f=-3x-4%3D2)
Add
![4](https://tex.z-dn.net/?f=4)
to both sides.
![-3x-4+4=2+4](https://tex.z-dn.net/?f=-3x-4%2B4%3D2%2B4)
![-3x=6](https://tex.z-dn.net/?f=-3x%3D6)
Divide both sides by
![-3](https://tex.z-dn.net/?f=-3)
.
![\frac{-3x}{-3}=\frac{6}{-3}](https://tex.z-dn.net/?f=%5Cfrac%7B-3x%7D%7B-3%7D%3D%5Cfrac%7B6%7D%7B-3%7D)
Our final answer would be,
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Thanks!
-TetraFish