Solving Innequalities 2 Problems Help

[GOMIxx]

Solving Innequalities 3 Problems Help

Hello (First time using this, read the rules. Don't judge).

So normally I am able to do well on tests, from 90-95s. But this test I just took had some difficult problems I did not understand, we received our tests back and I just want a better understanding of what I had made an error on.

3x^2-27/3x+9=-6

-I solved it and got x=-3, but my teacher marked it as half wrong. Am I missing something?

-Also, I was unable to do this problem:
2/x(x-1)+4/x^3

-I was okay factoring other problems, but I didn't know what to do with the x^3
-And one last question:
2/x+2=(4/x+2)+(3/x)

Just 3 problems. Can someone shed light on me, please?

 

[Deleted member 4993]

Hello (First time using this, read the rules. Don't judge).

So normally I am able to do well on tests, from 90-95s. But this test I just took had some difficult problems I did not understand, we received our tests back and I just want a better understanding of what I had made an error on.

(3x^2-27)/(3x+9)=-6

I am assuming that the problem above looks like \(\displaystyle \dfrac{3x^2 \ -\ 27}{3x \ + \ 9} \ = \ -6\)

If that is true then - those grouping symbols () are very important to preserve order of operation.

Did you try putting x = -3 into the left-hand-side of the equation and see whether you get -6 as a result?

How did you get x=-3 - can you please show your work?

-I solved it and got x=-3, but my teacher marked it as half wrong. Am I missing something?

-Also, I was unable to do this problem:
2/x(x-1)+4/x^3

Again use () to indicate order-of operations correctly.

You did not tell us what does it mean to "do the problem"!

-I was okay factoring other problems, but I didn't know what to do with the x^3
-And one last question:
2/x+2=(4/x+2)+(3/x)

Again use () to indicate order-of operations correctly.

Just 3 problems. Can someone shed light on me, please?

.