(1) X²+2√2X+2=0
X²+2√2X+(√2)²=0
(X+√2)²=0
∴X1=X2=-√2
(2)3(x-5)²=2(5-x)
3(x-5)²-2(5-x)=0
(x-5)(3X-17)=0
∴(x-5)=0 ,(3X-17)=0
X1=5, X2=17/3
(3)2(x-3)²=9-x²
2(x-3)²+(X²-9)=0
2(x-3)²+(X+3)(X-3)=0
(X-3)(2X-6+X+3)=0
(X-3)(3X-3)=0
∴X1=3, X2=1
(4) 9(2x+3)²=4(2x-5)²
9(2x+3)²-4(2x-5)² =0
(6x+9)²-(4x-10)²=0
(6x+9+4x-10)(6x+9-4x+10)=0
(10X-1)(2x+19)=0
∴X1=1/10, X2=-19/2
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