当x=_时,代数式3x^2+5x-2与11x-4的值相等

题目

当x=_时,代数式3x^2+5x-2与11x-4的值相等

答案

3x^2+5x-2=11x-4
3x^2-6x+2=0
x^2-2x+2/3=0
x^2-2x+1-1+2/3=0
(x-1)^2-3/9=0
(x-1-√3/3)(x-1+√3/3)=0
x=1+√3/3或x=1-√3/3