麻烦帮我解决一道数学题 2(5x-1)²=3(5x-1)用十字相乘法解决

问题描述:

麻烦帮我解决一道数学题 2(5x-1)²=3(5x-1)用十字相乘法解决

2(5x-1)²=3(5x-1)
2 (25x² -10x +1)=15x -3
50x² -20x +2=15x-3
50x² -35x +5=0
10x²-7X +1=0
(5X-1)*(2X-1)=0
5X-1=0 OR 2X-1=0
X=1/5 X=1/2

望采纳!

2(5X-1)²=3(5X-1)
化简10X²-7X+1=0
十字相乘如下
-2X 1
-5X 1
∴-2X+1=0 或 -5X+1=0
解得X=1/2 或X=1/5