规定新运算符号*的运算过程为a*b=1/3a-1/4b.(1).解方程2*x+1*x=0.

问题描述:

规定新运算符号*的运算过程为a*b=1/3a-1/4b.(1).解方程2*x+1*x=0.

2*x+1*x=0=1/6-1/4x+1/3-1/4x
-1/6-1/2x=0
-x-3=0
x=-3

a*b=1/3a-1/4b
则2*x+1*x=0.
[1/(3*2)-1/(4x)]+[1/(3*1)-1/(4x)]=0
[1/(3*2)+1/(3*1)]-[1/(4x)+1/(4x)]=0
1/6+1/3=1/(2x)
1/2=1/(2x)
x=1