计算x^4+10x^6-100x^4 x=根号3-根号2
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计算x^4+10x^6-100x^4 x=根号3-根号2
![计算x^4+10x^6-100x^4 x=根号3-根号2](/uploads/image/z/16788902-14-2.jpg?t=%E8%AE%A1%E7%AE%97x%5E4%2B10x%5E6-100x%5E4+x%3D%E6%A0%B9%E5%8F%B73-%E6%A0%B9%E5%8F%B72)
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
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
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