(x²-x)²-(x²-x)-2=0 (x+2)²-10(x+2)+25=0 求用“因式分解法”来解!
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(x²-x)²-(x²-x)-2=0 (x+2)²-10(x+2)+25=0 求用“因式分解法”来解!
(x²-x)²-(x²-x)-2=0 (x+2)²-10(x+2)+25=0 求用“因式分解法”来解!
(x²-x)²-(x²-x)-2=0 (x+2)²-10(x+2)+25=0 求用“因式分解法”来解!
(x²-x)²-(x²-x)-2=0
(x²-x-2)(x²-x+1)=0
(x²-2)(x+1)(x²-x+1)=0
所以x²-x+1=0,次方程无解.
或
x²-2=0,x=±√2
x+1=0,x=-1
(x+2)²-10(x+2)+25=0
(x+2-5)²=0
(x-3)²=0
x-3=0
x=3
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(x²-x)²-(x²-x)-2=0 ---(x²-x-2)(x²-x+1)=0-----(x-2)(x+1))(x²-x+1)=0----x=2,x=-1
(x+2)²-10(x+2)+25=0
(x+2-5)²=0
x=3