Question

Answer 1

\(a,đkx\ge1\\ \sqrt{x-1}+\sqrt{4\left(x-1\right)}-\sqrt{25\left(x-1\right)}+2=0\\ \sqrt{x-1}+2\sqrt{x-1}-5\sqrt{x-1}+2=0\\ -2\sqrt{x-1}=-2\\ \sqrt{x-1}=1\\ \left(\sqrt{x-1}\right)^2=1^2\\ x-1=1\\ x=2\left(thoaman\right)\)

Answer 2

ĐK:\(x\ge1\)

\(\sqrt{x-1}+\sqrt{4x-4}-\sqrt{25x-25}+2=0\)

\(\sqrt{x-1}+\sqrt{4\left(x-1\right)}-\sqrt{25\left(x-1\right)}+2=0\)

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

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

\(\sqrt{x-1}=1\)

\(x-1=1\)

x=2