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Radical din x patrat minus 4 + radical din x-2 =0

Răspuns :

√x^2-√x-2=0
√x^2-√x=0+2
√x^2-√x=2
√x=2
x=2^2
x=4
[tex] \sqrt{ x^{2}-4 }+ \sqrt{ x-2} =0 [/tex
[tex] \sqrt{ x^{2}-4 }= -\sqrt{x-2} [/tex]
[tex] x^{2} -4=x-2[/tex]
[tex] x^{2} -x-2=0[/tex]
Δ=9
[tex] x_{1} =-1[/tex]∉DVA
[tex] x_{2}=2 [/tex]
S={2}