PLS HELP VERY HARD

[somber ocean]

help me pls

[cold hill]

!show

[viral hawk]

Show your work, and if possible, explain where you are stuck.

[somber ocean]

bro pls help

is hard

is a question very similar that will go in my university entry exam

[fair drum]

Can you take a clear screenshot of the question and post it?
Then, let us know what you attempted so far.

[somber ocean]

i got the answer

but i want to make sure

im not sure

[fair drum]

I'm sorry I do not understand your writing.
Take a clear screenshot of the "original" question (the question "as is", not what you wrote) and post it.
OR
Wait for someone who understands your writing.

[somber ocean]

ill wait

[cold hill]

"Find $n^2+n+1$ if $n \in \mathbb R$ and $n^{3-n^2}=2n^2-1$

[arctic hazel]

Marianne

[fair drum]

Marianne, may you please verify if there is an equal sign somewhere in the question?

[cold hill]

sorry typo

"Find $n^2+n+1$ if $n \in \mathbb R$ and $n^{3-n^2}=2n^2-1$"

[arctic hazel]

Marianne

[fair drum]

Okay, thank you.
This is a transcendental equation.
If the professor allows the student the permission to solve it by graphing, then here is the solution.
(1, 1) works.
Also, by inspection, (-1, -1) works.
If the professor will not accept graphical solution, then numerical solution may be used.

I think the student can now find $n^2 + n + 1$ for both 1 and -1
Please let me know otherwise.

Let me word it properly:
For $n^{3 - n^2} = 2n^2 - 1$
LHS = RHS will work for n = 1 and n = -1