SOLUTION: I need to solve the equation {{{x^4+4x^3+2x^2=0}}} for all real numbers. This is what i have so far. {{{x^2(x^2+4x+2)=0}}} Then I can set x^2=0 and get x=0 after taking the

Question 553819: I need to solve the equation for all real numbers.
This is what i have so far.

Then I can set x^2=0 and get x=0 after taking the square root of both sides.
then the problem that is left is a quadratic so i can use the quadratic formula and get

after i combine every thing i get
the answer in the back of the book is
i see how -4 is smiplified down to -2 what i don't understand is how you get the sqrt2 out of . Am i completly off track or did i miss something. please help if you can
thanks Kathleen Nolan
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
You are close!!

Factor the 2 in the numerator:

Divide out the 2, and you will have the correct answer!!

You may want to see my FREE website for additional explanation on this topic. The easiest way to find the website is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. Near the bottom of this page is a link that takes you to my Homepage. On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra" and look in Chapter 5 for the section on Reducing Fractions with Radicals. There is also an explanation in "Intermediate Algebra", "Chapter 3." I think you will really like the "Math in Living Color" pages that go with these sections.

If you need to contact me, send me an Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus
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