Question

Tiếp câu b ik ạ

Answer 1

\(3\sqrt{4x+4}-2\sqrt{9x+9}+\sqrt{x+1}=\sqrt{2}+1\left(x>=-1\right)\\ < =>3.\sqrt{4}.\sqrt{x+1}-2.\sqrt{9}.\sqrt{x+1}+\sqrt{x+1}=\sqrt{2}+1\\ < =>\left(3.2-2.3+1\right).\sqrt{x+1}=\sqrt{2}+1\\ < =>\sqrt{x+1}=\sqrt{2}+1\\ < =>x+1=\left(\sqrt{2}+1\right)^2=3+2\sqrt{2}\\ < =>x=2+2\sqrt{2}\left(TMDK\right)\)

Answer 2

\(\Leftrightarrow6\sqrt{x+1}-6\sqrt{x+1}+\sqrt{x+1}=\sqrt{2}+1\)

\(\Leftrightarrow x+1=3+2\sqrt{2}\)

hay \(x=2\sqrt{2}+2\)