一元二次方程X²-2根号三+3 (X-7)²-3(X-7)=09(2x+3)²-4(2x-5)²=0
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一元二次方程X²-2根号三+3 (X-7)²-3(X-7)=09(2x+3)²-4(2x-5)²=0
一元二次方程X²-2根号三+3
(X-7)²-3(X-7)=0
9(2x+3)²-4(2x-5)²=0
一元二次方程X²-2根号三+3 (X-7)²-3(X-7)=09(2x+3)²-4(2x-5)²=0
x²-2√3x+3=0
(x-√3)²=0
∴x1=x2=√3
(x-7)²-3(x-7)=0
(x-7)(x-7-3)=0
(x-7)(x-10)=0
∴x=7 x=10
(X-7)²-3(X-7)=0 => (X-7)(X-10)=0 x=7或10
(x-根号三)^2=0
x1=x2=根号三
因式分解法