解方程:(2x-3)(2x-3)=x^2-6x+9和(2x-1)^2=(1+√2)2

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解方程:(2x-3)(2x-3)=x^2-6x+9和(2x-1)^2=(1+√2)2

(2x-3)(2x-3)=x²-6x+9
(2x-3)²=(x-3)²
(2x-3)²-(x-3)²=0
[(2x-3)+(x-3)][(2x-3)-(x-3)]=0
(3x-6)x=0
x(x-2)=0
x=0或x=2
(2x-1)²=(1+√2)²
(2x-1)²-(1+√2)²=0
[(2x-1)+(1+√2)][(2x-1)-(1+√2)]=0
(2x+√2)(2x-2-√2)=0
x=-√2/2或x=1+ √2/2