# Question: Solving equation with radicals

January 04 2013 by
false
Maple

1

Good day, dear Friends!

I'm trying to find real positive roots  of equation

with Maple 16.01.

One can easly verifies that this euqation has at least two positive  real (integer) solutions: at x=5 and x=10,

but Maple function solve(sqrt(x+3-4*sqrt(x-1))+sqrt(x+8-6*sqrt(x-1)) = 1, x) assuming x::positive; returns nothing but x. Is it possible to solve that equation by Maple's internal functions?