3(x-5)^2=2x(5-x)解方程过程!简便!

来源:学生作业帮助网 编辑:六六作业网 时间:2024/10/01 22:18:55
3(x-5)^2=2x(5-x)解方程过程!简便!3(x-5)^2=2x(5-x)解方程过程!简便!3(x-5)^2=2x(5-x)解方程过程!简便!由题意可得:3(5-x)^2-2x(5-x)=0(

3(x-5)^2=2x(5-x)解方程过程!简便!
3(x-5)^2=2x(5-x)解方程过程!简便!

3(x-5)^2=2x(5-x)解方程过程!简便!
由题意可得:
3(5-x)^2-2x(5-x)=0
(5-x)(15-3x-2x)=0
(5-x)(15-5x)=0
解得:x=3或5

3(X-5)²-2X(5-X)=0
3(X-5)²+2X(X-5)=0
(X-5)[3(X-5)+2X]=0
(X-5)(5X-15)=0
(X-5)(X-3)=0
X-5=0,X1=5
X-3=0,X2=3

6x-30=10x-2x2
2x2-4x-30=0
x2-2x-15=0
x2-2x+1=16
即x-1=4或x-1=-4
x=5或-3