Question

\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+13+8\sqrt{2x-13}}=5\)

Answer 1

đề sai ko vậy bạn

nếu đề đúng thì mình nghỉ là

\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+3+8\sqrt{2x-13}}=5\)

Answer 2

\(\sqrt{2x-2+2\sqrt{2x-3}}+\sqrt{2x+3+8\sqrt{2x-13}}=5\)

\(\Leftrightarrow\sqrt{2x-3+2\sqrt{2x-3}+1}+\sqrt{2x-13+8\sqrt{2x-13}+16}=5\)

\(\Leftrightarrow\sqrt{\left(\sqrt{2x-3}+1\right)^2}+\sqrt{\left(\sqrt{2x-13}+4\right)^2}=5\)

\(\Leftrightarrow\sqrt{2x-3}+1+\sqrt{2x-13}+4=5\)

\(\Leftrightarrow\sqrt{2x-3}+\sqrt{2x-13}=0\left(vl\right)\)

suy ra pt vô nghiệm

theo tôi là vậy