Find an effeciant way to deduce the roots of the equatioon

[engboysclub]

Homework Statement

Consider the fourth order equation x4 + 5x2 + 6 = 0.
(a) Suggest an efficient way to find all roots of this equation.
(b) List all the roots.

Homework Equations

The Attempt at a Solution

-I plotted the graph.
-I thought of iteration - Is that correct ? For that I have to change the form of the equation but then it is not given - Usually for iteration, they mention.
-I thought of first derivative but what use is it going to be ?

 

[micromass]

Can you find a suitable substitution??

By the way, if you want to type an exponent such as x². Then you can do this by

[NOPARSE]x[SUP]2[/SUP][/NOPARSE]

 

[engboysclub]

Yes, I got it with substitution !

Thanks a lot ! And I will use the proper way for exponent next time.

 

[Ray Vickson]

Yes, I got it with substitution !

Thanks a lot ! And I will use the proper way for exponent next time.

Or: you can just write x^2 and x^4; these are also perfectly understandable.

RGV