`(a):2\sqrt{x-2}+\sqrt{16x-32}-(1)/(5)\sqrt{25x-50}=10\ (ĐK:x\ge 2)`
`<=>2\sqrt{x-2}+\sqrt{16}.\sqrt{x-2}-(1)/(5).\sqrt{25}.\sqrt{x-2}=10`
`<=>(2+4-1).\sqrt{x-2}=10`
`<=>5\sqrt{x-2}=10`
`<=>\sqrt{x-2}=2`
`<=>x-2=4`
`<=>x=6\ (TMDK)`
`(b):\ \sqrt{2x+2\sqrt{2x-1}}+\sqrt{8x-4}=10\ (ĐK:x\ge 1/2)`
`<=>\sqrt{2x-1+2.\sqrt{2x-1}.1+1}+\sqrt{4}.\sqrt{2x-1}=10`
`<=>\sqrt{(\sqrt{2x-1}+1)^{2}}+2\sqrt{2x-1}=10`
`<=>|\sqrt{2x-1}+1|+2\sqrt{2x-1}=10`
`<=>\sqrt{2x-1}+1+2\sqrt{2x-1}=10` ( Do : `\sqrt{2x-1}+1>0` với mọi `x\in ĐK ` )
`<=>3\sqrt{2x-1}=9`
`<=>\sqrt{2x-1}=3`
`<=>2x-1=9`
`<=>x=5\ (TMDK)`
a: \(\Leftrightarrow2\sqrt{x-2}+4\sqrt{x-2}-\sqrt{x-2}=10\)
=>5 căn x-2=10
=>căn x-2=2
=>x-2=4
=>x=6
b: \(\Leftrightarrow\sqrt{2x-1+2\sqrt{2x-1}+1}+2\sqrt{2x-1}=10\)
\(\Leftrightarrow\sqrt{2x-1}+1+2\sqrt{2x-1}=10\)
=>3 căn 2x-1=9
=>căn 2x-1=3
=>2x-1=9
=>2x=10
=>x=5
