定义一种新运算:a*b=1/3a-1/2b. (1)求6*(-6)的值;(2)解方程2*(1*x)=1*x

问题描述:

定义一种新运算:a*b=1/3a-1/2b. (1)求6*(-6)的值;(2)解方程2*(1*x)=1*x

6*(-6)=1/3×6-1/2×(-6)=2+3=51*x=1/3-1/2x2*(1*x)=2*(1/3-1/2x)=1/3×2-1/2(1/3-1/2x)=2/3-1/6+1/4x=1/2-1/4x∴方程是:1/2-1/4x=1/3-1/2x6-3x=4-6x-3x+6x=4-63x=-2x=-2/3