# Find an effeciant way to deduce the roots of the equatioon

1. Nov 10, 2012

### engboysclub

1. The problem statement, all variables and given/known data

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.

2. Relevant equations

3. 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 ?

2. Nov 10, 2012

### micromass

Staff Emeritus
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

Code (Text):

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

3. Nov 10, 2012

### engboysclub

Yes, I got it with substitution !

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

4. Nov 10, 2012

### Ray Vickson

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

RGV