解方程(2x-1)^2-10(2x-1)+25=0 (1+√2)x^2-(1-√2)x=0 用分解因式做啊

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解方程(2x-1)^2-10(2x-1)+25=0 (1+√2)x^2-(1-√2)x=0 用分解因式做啊

解方程(2x-1)^2-10(2x-1)+25=0 (1+√2)x^2-(1-√2)x=0 用分解因式做啊
解方程(2x-1)^2-10(2x-1)+25=0 (1+√2)x^2-(1-√2)x=0 用分解因式做啊

解方程(2x-1)^2-10(2x-1)+25=0 (1+√2)x^2-(1-√2)x=0 用分解因式做啊
(2x-1)^2-10(2x-1)+25=0
(2x-1-5)²=0
(2x-6)²=0
∴x=3
(1+√2)x^2-(1-√2)x=0
x[(1+√2)x-(1-√2)]=0
x=0 (1+√2)x-(1-√2)=0
x=0 x=(1-√2)/(1+√2)=(1-√2)²/(1-2)=-(1-√2)²=-1+2√2-2=2√2-3
∴x=0或x=2√2-3

(2x-1)^2-10(2x-1)+25=0
(2x-1-5)^2=0
(2x-6)^2=0
2x-6=0
2x=6
x=3
(1+√2)x^2-(1-√2)x=0
x[(1+√2)x-(1-√2)]=0
x=0 或 (1+√2)x=(1-√2)
x=0 或 x=(1-√2)÷(1+√2)
x1=0 x2=2√2-3