60根号3加根号3X等于3X X 怎么求

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60根号3加根号3X等于3X X 怎么求
60根号3加根号3X等于3X X 怎么求

60根号3加根号3X等于3X X 怎么求
60*(3^0.5)+(3^0.5)*X=3*X^2
3*X^2-(3^0.5)*X-60*(3^0.5)=0
X^2-X/(3^0.5)-60/(3^0.5)=0
X1=1/(2*(3^0.5))+((1/(2*(3^0.5)))^2+60/(3^0.5))^0.5
=(3^0.5)/6+(1/12+20*(3^0.5))^0.5
X2=1/(2*(3^0.5))-((1/(2*(3^0.5)))^2+60/(3^0.5))^0.5
=(3^0.5)/6-(1/12+20*(3^0.5))^0.5

用计算器求