Question

1,\(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=2\)

2. \(2x-x^2+\sqrt{x^2-12x+7}=0\)

3, \(\sqrt{x^2-3x+3}+\sqrt{x^2-3x+6}=3\)

please help me

 

Answer 1

Cau 1. X=2

Cau 2 x= 23

Cau/3.x=14

Answer 2

ban co the nao giai chi tiet cho minh dc ko

Answer 3

1, \(\sqrt{x+2\sqrt{x-1}}+\sqrt{x-2\sqrt{x-1}}=0\)

\(\Leftrightarrow\sqrt{x-1+2\sqrt{x-1}+1}+\sqrt{x-1-2\sqrt{x-1}+1}=0\)

\(\Leftrightarrow\sqrt{\left(\sqrt{x+1}+1\right)^2}+\sqrt{\left(\sqrt{x-1}-1\right)^2}=0\)

Sau đó bn chia ra hai trường hợp và lm