m²x²—(3m²—8m)x+2m²—13m+15=0 m²x²—(3m²—8m)x+(2m—3)(m-5
问题描述:
m²x²—(3m²—8m)x+2m²—13m+15=0 m²x²—(3m²—8m)x+(2m—3)(m-5
这三步是怎么转化的?
答
2m^2-13m+15
2m -3
m -5
交叉相乘然后相加等于-13m,2m*m=2m^2,-3*(-5)=15
所以可写成(2m-3)(m-5)
m²x²—(3m²—8m)x+(2m—3)(m-5 )=0
mx -(2m-3)
mx -(m-5)
交叉相乘然后相加等于—(3m²—8m)x ,-(2m-3)*-(m-5)=2m—3)(m-5 ) ,mx*mx=m²x²
所以可写成:(mx-(2m-3))(mx-(m-5))=0