a: \(\Leftrightarrow\sqrt{x-9-6\sqrt{x-9}+9}=4\)
=>\(\left|\sqrt{x-9}-3\right|=4\)
=>\(\sqrt{x-9}-3=4\)
=>căn x-9=7
=>x-9=49
=>x=58
b: \(\Leftrightarrow x-1-2\sqrt{x-1}-3=0\)
=>\(\left(\sqrt{x-1}\right)^2-2\sqrt{x-1}-3=0\)
=>\(\left(\sqrt{x-1}-3\right)\left(\sqrt{x-1}+1\right)=0\)
=>\(\sqrt{x-1}-3=0\)
=>x-1=9
=>x=10
c: \(\Leftrightarrow\sqrt{x+3}\left(\sqrt{x-3}-5\right)=0\)
=>x+3=0 hoặc x-3=25
=>x=28 hoặc x=-3
d: =>x^2-3x+2=x-1
=>x^2-4x+3=0
=>(x-3)(x-1)=0
=>x=1 hoặc x=3
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