# Solving a complex equation

1. Feb 17, 2015

### gimak

1. The problem statement, all variables and given/known data
y=[(1+y^2)^1.5]/[2(y+sqrt 3)^2]; solve for y

2. Relevant equations
see above

3. The attempt at a solution
I tried to use algebra to solve it, but I can't. The text book says it can be solved numerically or by iteration. By numberically I think it means algebraically. But I don't know how to do it that way. I don't know what it means by iteration. Can you guys give me an idea of how to do it both ways?

2. Feb 17, 2015

### RUber

Numerically means using a computer or graphing method to find the answer. Bring the y to the right side so you have f(y)=0. Then plot it to see where f(y) crosses the axis.
Iteration to me also implies a numerical solving method that starts with a guess and moves closer to the zero until you are as close as you need to be.

3. Feb 17, 2015

### Raghav Gupta

Take the denominator to L.H.S and square both sides. Can you see a pattern?

4. Feb 17, 2015

### Ray Vickson

Numerically is NOT algebraically. Rather than trying to explain it I will just give a link to explanations that others have already written out. See
http://mathforum.org/library/drmath/view/61677.html or
http://cfd.mace.manchester.ac.uk/twiki/pub/Main/TimCraftNotes_All_Access/cfd1-numanal.pdf

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