I want to solve the equation
sqrt(x)+sqrt(-x^2+1) = sqrt(-4*x^2-3*x+2)
in Real domain. I tried
RealDomain:-solve(sqrt(x)+sqrt(-x^2+1) = sqrt(-4*x^2-3*x+2), x);
and I got -5/9+(1/9)*sqrt(34).
But, with Mathematica, I posted my question at http://mathematica.stackexchange.com/questions/51316/how-can-i-get-the-exact-real-solution-of-this-equation
Mathematica had two solutions
x ==-1-Sqrt|| x ==1/9(-5+Sqrt)
If I understand correctly, when Maple solve in RealDomain of this equation, the solution of equation must satisfy conditions x>=0 and -x^2+1 >=0 and -4*x^2-3*x+2 >=0. Therefore, the number
is not a solution. My question is the given equation has one solution (Maple) or two solutions (Mathematica)?