Question

2-√2-x=x

2-x e sub radical

mersiii

Answer 1

condiția de existență a radicalului
2- x>=0
-x>=-2 |•(-1)
x ≤2
x€(-infinit;2]
2-√(2-x)=x
√(2-x)=2-x |^2
2-x=4-4x+x^2
x^2-4x+x+4-2=0
x^2-3x+2=0
x^2-x-2x+2=0
x(x-1)-2(x-1)=0
(x-1)(x-2)=0
x-1=0
x1=1
x-2=0
x2=2
S={1,2}