Answer:
-1, 2, 6
Step-by-step explanation:
We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
Now, we have, 
⇒
⇒
⇒
⇒![(x-2)(x-6)[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0](https://tex.z-dn.net/?f=%28x-2%29%28x-6%29%5B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20-5x-2%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5D%3D0)
⇒
or, ![[\frac{1}{x^{2} -5x-2} -\frac{1}{4} ]=0](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7Bx%5E%7B2%7D%20-5x-2%7D%20-%5Cfrac%7B1%7D%7B4%7D%20%5D%3D0)
If, (x-2)(x-6) =0, then x=2 or x=6
If,
, then 
and (x-6)(x+1) =0
Therefore, x=6 or -1
So the solutions for x are -1, 2 6. (Answer)
In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say

So required equation is

Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5



So required equation of cubic polynomial is

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.
Hey there!

Firstly, we are going
add 
on each of the sides that we're working with. like ↓

This gives us

(if you are wondering how we got the out come of

it is because I
added 
Now
multiply 
on each of your sides
Cancel the first set and you will find the value of

Good luck on your assignment and enjoy your day ~
3/4 with the main number divide it
horizontal shrink by a factor of 1/2
4 units to the left