Equation - algebra

paulina96

New member
Joined
Nov 12, 2020
Messages
3
Hi everyone,
I'm stuck with the following equation : x^2 - sqrt(2x) - 4 =0
I developed the following steps:

(x^2 -4) ^2 = sqrt(2x)^2
The outcome is: X^4 - 8x^2 -2x +16 =0
Ruffini doesn't work. How should I proceed?
Thanks
 
Hi everyone,
I'm stuck with the following equation : x^2 - sqrt(2x) - 4 =0
I developed the following steps:

(x^2 -4) ^2 = sqrt(2x)^2
The outcome is: X^4 - 8x^2 -2x +16 =0
Ruffini doesn't work. How should I proceed?
Thanks
Does not have any rational solution (rational root theorem). You can approximate the solutions using numerical (iterative) methods (e.g. Newton-Raphson iteration). Have you been taught any of those methods?
 
Does not have any rational solution (rational root theorem). You can approximate the solutions using numerical (iterative) methods (e.g. Newton-Raphson iteration). Have you been taught any of those methods?
I'm afraid, I did not. Could you share any link to study such methods? Or, could you tell me how one of those methods work?
I appreciate that
 
I'm afraid, I did not. Could you share any link to study such methods? Or, could you tell me how one of those methods work?
I appreciate that
Do a Google search with following suggested key-word:

solution of nonlinear equation Newton

You will find several helpful videos along with many tutorial sites.

If you have further questions, please comeback and we will discuss in more detail.
 
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