Question

Rezolvati:
(5radical din 3+x)la a 2=(5+x)la a 2+(5+5radical din3)

Answer 1

(5√3+x)²=(5+x)²+(5+5√3)
75+x²+10x√3=25+10x+x²+5+5√3
10x√3-10x=5√3-45
x(2√3-2)=(√3-9)
x=(√3-9)/(2√3-2)=(√3-9)(2√3+2)/(2√3-2)(2√3+2)=(6-18√3+2√3-18)/(12-4)=
=(-16√3-12)/8=(-4√3-3)/2