Question

\(\sqrt{x+1}=\sqrt{5}-3\)giai phuong trinh

 

Answer 1

\(\sqrt{x+1}=\sqrt{5}-3\)

\(x+1=5-2.\sqrt{5}.3+9\)

\(x+1=14-6.\sqrt{5}\)

\(x=13-6.\sqrt{5}\)

Answer 2

ĐK: \(x+1\ge0\Leftrightarrow x\ge-1.\)

Bình phương hai vế

\(x+1=5+9-2.3.\sqrt{5}\Rightarrow x=13-6.\sqrt{5}\)