来自孟宇的问题
计算x^4+10x^6-100x^4x=根号3-根号2
计算x^4+10x^6-100x^4x=根号3-根号2
1回答
2020-12-11 05:53
计算x^4+10x^6-100x^4x=根号3-根号2
计算x^4+10x^6-100x^4x=根号3-根号2
x=根号3-根号2
x^2=(根号3-根号2)^2=5-2根号6
x^4=(根号3-根号2)^4=49-20根号6
x^6=x^2*x^4=(5-2根号6)(49-20根号6)=245-100根号6-98根号6+40*6=485-198根号6
x^4+10x^6-100x^4
=-99(49-20根号6)+10(485-198根号6)
=-4851+1980根号6+4850-1980根号6
=-1