Solve the equation

[obsidian iron]

just

change x into

[oblique ruin]

i reckon you have to put the terms on diff sides

[obsidian iron]

cube of x to the square of 3

and simplify everything

[oblique ruin]

like the 3x cube root (1/x) + 20 = 2x cube root x

and cube everthing

let x = u^3

and go from there

[lunar bane]

can you please send the solution

I will be very grateful)

[obsidian iron]

,rotate

[obsidian iron]

just solve for t and get x

[lunar bane]

Then t=±2

And

X=±8

So?

[obsidian iron]

so thats x TOT

wdym "so" 💀

[obsidian iron]

😭 thats ur solution ;-;

[lunar bane]

I mean, did I make the right decision? it's just that I have never solved such examples and did not replace them 2 times(t,u), I really want to learn how to solve difficult examples for myself and understand mathematics better

But my answer ±8)

[obsidian iron]

u neednt replace the second times

dont even have to replace at all if u can imagine it

[obsidian iron]

ye

[lunar bane]

please show me how to do it without replacement, if it's not difficult? I just don't know how)

[leaden star]

why are you not allowed to use substitution. thats like the most intuitive way to do it

[lunar bane]

I decided to replace it, I was just told that I could do without it

[leaden star]

well you technically can do it without substitution its just kinda stupid tbh

its like solving an integral to like the 5th power without u sub it just takes longer

[lunar bane]

Okay, so I did everything right)

[lunar bane]

I haven't gone through integrals yet, then it's definitely not for me)

[obsidian iron]

u could

,rotate

[obsidian iron]

,rotae

dang

idk how to rotate

[lunar bane]

Almost xd

[obsidian iron]

stupid bbot

[lunar bane]

No problem

[leaden star]

,rotate

[leaden star]

,rotate

[lunar bane]

Nice

[obsidian iron]

replacing is more preferable

[lunar bane]

Woow

[obsidian iron]

easier to visulaize the thing..

[lunar bane]

Nice, i like it

I'll try to figure it out

[leaden star]

if i was a teacher and my student didnt use substitution on this it would honestly be more annoying lol

[lunar bane]

i like replace:D

[leaden star]

yeah if youre extra fancy you can

[leaden star]

sub t^2 with u

[obsidian iron]

ye it rlly looks messy compared to using t =))

[leaden star]

but double subbing is kinda unnecessary

[lunar bane]

but looks interesting)

[leaden star]

but regardless it would come out to 2u^2-3u-20 which factors into (t^2-4)(2t^2+5)=0

idk how to write in latex but

[obsidian iron]

😭 🙄

[lunar bane]

yea

[lunar bane]

replace more ez for me)

[obsidian iron]

its acutally more tiring writting all the square sign stuff

so ye -> replacing

[lunar bane]

yes, thanks!

[cobalt crow]

Learning to do substitutions is a great skill to have, especially later on. Being able to see a pattern just might give you the opportunity to score more points on an exam.

Of course it is also important to know how to solve problems in multiple ways. And I think it is a good way to practice.

But on exams, do what works for you. But before exams learn as many techniques as possible as it will help you in the future.

[lunar bane]

wow, Lukas

thank you so much

Good advice, I'll listen

[leaden star]

just as a point of reference if you see something obnoxious like this in the context of solving a variable think about how you can substitute it

[lunar bane]

thanks)

i understand!

MagikMako