# Difficult Equation

## Main Question or Discussion Point

hey all,

a friend gave me this equation and required that i solve it:

http://www.geocities.com/mazen_zone/Untitled.jpg

I could only solve it graphically and the answer was (x = 4),
so i wonder if there is an algebraic solution for it ?

Mentallic
Homework Helper
I don't think there is any way to solve it algebraically.

With such equations, it's easy to create them, while terribly annoying to solve without calculators to solve it numerically for you. I think your friend may have caused you a headache for laughs

Last edited:
I don't think there is any way to solve it algebraically.

With such equations, it's easy to create them, while terribly annoying to solve without calculators to solve it numerically for you. I think your friend may have caused you a headache for laughs
lol yeah i guess...thanks anyway.

log it, make sqrt(x) the subject, square both sides, and I think that would give you a quadratic which is easy to solve.

edit: Sorry I just realized that's a dumb idea. Yeah, I don't think there's any way to solve it analytically.

Anyway, not with log and all. Since you have a sum of the two, the log would not apply in that sense.

Cheers

Calculators use Newton's method to solve equations (including this type of equations of course)
maybe that's the only analytic way to solve it, but i don't know how to use this method

matt grime