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解方程(x-1)2-5(x-1)+4=0时.我们可以将x-1看成一个整体.设x-1=y.则
解方程(x-1)2-5(x-1)+4=0时.我们可以将x-1看成一个整体.设x-1=y.则
发布时间:2021-02-22 23:38:07
4、解方程(x-1)2-5(x-1)+4=0时,我们可以将x-1看成一个整体,设x-1=y,则原方程可化为y2-5y+4=0,解得y1=1,y2=4.当y=1时,即x-1=1,解得x=2;当y=4时,即x-1=4,解得x=5,所以原方程的解为:x1=2,x2=5.则利用这种方法求得方程 (2x+5)2-4(2x+5)+3=0的解为( )
A、x1=1,x2=3
B、x1=-2,x2=3
C、x1=-3,x2=-1
D、x1=-1,x2=-2
网友回答
答案:
分析:
首先根据题意可以设y=2x+5,方程可以变为 y2-4y+3=0,然后解关于y的一元二次方程,接着就可以求出x.
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