MHB Solve equation with square roots

[theakdad]

Can someone show me step by step guide,how to find all possible solutions for example?

 

[Opalg]

Can someone show me step by step guide,how to find all possible solutions for example?

Hi Andreas, and welcome to MHB. You do not say what you have tried in order to tackle this problem. I suggest that you start by looking at those square roots. Can you simplify them at all?

 

[theakdad]

Thanks for welcome! I need to remove fractions,and get possible solutions for X. I don't know how to remove fractions,step by step would be very useful.

 

[theakdad]

Is the solution x^3+3x^2=4?

 

[Petrus]

Hello,

Regards,
$$|\pi\rangle$$

 

[theakdad]

Thanks Petrus, can you continue?

 

[theakdad]

Or someone else? Its urgent. Thanks.

 

[Petrus]

Hello,
I Will post how to solve it after you post what you think you should do! Tips Dont do the homework in the last minutes

Regards,
$$|\pi\rangle$$

 

[theakdad]

Expression skould be without fractions,and then i have to find possible solution(s) for X.

 

[Petrus]

Is the solution x^3+3x^2=4?

Hello,
My bad did not see this but that is correct! So what is x equal to?

Regards,
$$|\pi\rangle$$

 

[theakdad]

I think it can be only one! True?

 

[theakdad]

I want to know how do i get solution in math way. I can see that is 1,but how do i prove it? Can i "disassemble" my last expression? Or if you have time,show me please how would you do it! And many thanks,and sorry for my English!

 

[Petrus]

Hello,
$$x^2(x+3)=4$$ and you suspect that $$x=1,2,-2$$ BUT you always check if they are correct and Then you see that $$x=2,-2$$ is a fake root!

Regards,
$$|\pi\rangle$$