a)√x+5=7-√2x+8
x+5=49-14√2x+8 +2x +8
x+5=57-14√2x+8 +2x
14√2x+8=57+2x-x-5
14√2x+8=52+x
196(2x+8)=2704+104x+x²
392x+1568=2704+104x+x²
392x+1568-2704-104x-x²=0
288x-1136-x²=0
-x²+288x-1136=0
x²-288x+1136=0
x²-4x-284x+1136=0
x(x-4)-284(x-4)=0
(x-4)(x-284)=0
=> x=4 và x=284
b)x+4-2√(x+4)(1-x) +1-x=1-2x
4-2√(x+4)(1-x) +1=1-2x
4-2√-3x-x²+4=-2x
-2√-3x-x²+4=-2x-4
√-3x-x²+4=x+2
-3x-x²+4=x²+4x+4
-3x-x²=x²+4x
-3x-x²-x²-4x=0
-7x-2x²=0
-x(7+2x)=0
=>x=0 và x=-7/2
c)x+2√x-1 +2√(x+2√x-1)(x-2√x-1) +x-2√x-1=4
x+2√x²-4(x-1) +x=4
x+2√x²-4x+4+x=4
2x+2√x²-4x+4=4
2√x²-4x=2-x
√(x-2)²=2-x
|x-2|=2-x
|x-2|+x=2
x-2+x=2 =>x>=2
-x+2+x=2 =>x<2
=> 2<=x<2
=> x=[1,2]