已知x²-5x-14=0 求(x-1)(2x-1)-(x-1)²+1

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/16 07:43:19

已知x²-5x-14=0 求(x-1)(2x-1)-(x-1)²+1
已知x²-5x-14=0 求(x-1)(2x-1)-(x-1)²+1

已知x²-5x-14=0 求(x-1)(2x-1)-(x-1)²+1
x²-5x-14=0
(x-7)(x+2)=0
x=7或x=-2
(x-1)(2x-1)-(x-1)²+1
=(x-1)(2x-1-x+1)+1
=x(x-1)+1
当x=7时(x-1)(2x-1)-(x-1)²+1=43
当x=-2时(x-1)(2x-1)-(x-1)²+1=6

x²-5x-14=0
(x-7)(x+2)=0
x=7 x=-2
(x-1)(2x-1)-(x-1)²+1
=2x²-x-2x+1-x²+2x-1+1
=x²-x+1
1)x=7
x²-x+1=43
2)x=-2
x²-x+1=7

先化简,再代入
(x-1)(2x-1)-(x-1)²+1=(x-1)(2x-1-x+1)+1=x(x-1)+1
由x²-5x-14=0
(x-7)(x+2)=0
x=7或x=-2
当x=7时代入,得:43
当x=-2时代入,得:7

(x-1)(2x-1)-(x-1)²+1
=2x²-2x-x+1-x²+2x-1+1
=x²-x+1
x²-5x-14=0
(x+2)(x-7)=0
x=-2或x=7
所以代数式=4+2+1=7或49-7+1=43

现在的孩子都学些啥。。。怎么这个都不会。