已知實(shí)數(shù)：x=2+√3,y=√3 -2 , 求(x^4+y^4)÷x^2+y^2/x+y的值. /為分號(hào)
已知實(shí)數(shù)：x=2+√3,y=√3 -2 , 求(x^4+y^4)÷x^2+y^2/x+y的值. /為分號(hào)
數(shù)學(xué)人氣：953 ℃時(shí)間：2019-10-23 09:26:38
優(yōu)質(zhì)解答
已知,x = 2+√3 ,y = √3 -2 ,可得：x+y = 2√3 ,xy = -1 ；x^2+y^2 = (x+y)^2-2xy = 14 ,x^2y^2 = 1 ；x^4+y^4 = (x^2+y^2)^2-2x^2y^2 = 194 ；所以,[(x^4+y^4)÷(x^2+y^2)]∶(x+y) = (194/14)∶(2√3) = (97/42)√...
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