2*x+2*(x^2-5x)^(1/2) +2*(x-5)^(1/2)+2*x^(1/2)=53

x+2*(x-5)^1/2*x^(1/2)+(x-5)+2*((x-5)^(1/2)+x^(1/2))=48

(x^(1/2)+(x-5)^1/2)^2+2*((x-5)^(1/2)+x^(1/2))-48=0

Пусть x^(1/2)+(x-5)^1/2=t

t^2+2t-48=0
Попробуйте дальше сами.