Solving Rational Functions Hello I'm posting again because I really need help on this any help is appreciated!!​

x = √17 and x = -√17

Step-by-step explanation:

We have the equation:

To solve this we need to remove the denominators.

Then we can first multiply both sides by (x + 4) to get:

Now we can multiply both sides by (x + 3)

Now we can multiply both sides by (x^2 + 7*x + 12)

Now we need to solve this:

we will get

Then we get:

So now we only need to solve this.

We can see that the constant is 51.

Then one root will be a factor of 51.

The factors of -51 are:

-3 and -17

Let's try -3

p( -3) = (-3)^3 + 3*(-3)^2 + +17*(-3) + 51 = 0

Then x = -3 is one solution of the equation.

But if we look at the original equation, x = -3 will lead to a zero in one denominator, then this solution can be ignored.

This means that we can take a factor (x + 3) out, so we can rewrite our equation as:

The other two solutions are when the other term is equal to zero.

Then the other two solutions are given by:

x = ±√17

And neither of these have problems in the denominators, so we can conclude that the solutions are:

x = √17 and x = -√17