👤

[tex] \sqrt{x+8-6 \sqrt{x-1} } + \sqrt{4x-3-4 \sqrt{x-1} } =3[/tex]

Răspuns :

√[x+8-6√(x-1)]+√[4x-3-4√(x-1)=3
√[3-√(x-1)]²+√[1-2√(x-1)]²=3
3-√(x-1)+1-2√(x-1)=3
3√(x-1)=1
√(x-1)=1/3
x-1=1/9
x=1/9+1
x=10/9