若x+y=3,xy=2,则x^4+y^4的值为多少
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若x+y=3,xy=2,则x^4+y^4的值为多少若x+y=3,xy=2,则x^4+y^4的值为多少若x+y=3,xy=2,则x^4+y^4的值为多少两边平方:(x+y)^2=x^2+2xy+y^2=
若x+y=3,xy=2,则x^4+y^4的值为多少
若x+y=3,xy=2,则x^4+y^4的值为多少
若x+y=3,xy=2,则x^4+y^4的值为多少
两边平方:(x+y)^2 = x^2 + 2xy + y^2=9
x^2+y^2= 9-2xy =9-2×2 =5
再两边平方:(x^2 + y^2)^2 = x^4 + 2x^2y^2 + y^4 =25
x^4 + y^4 = 25-2x^2y^2 = 25 - 2(xy)^2 = 25-2×4=17
X和Y一个是1一个是2, 1^4+2^4=1+16=17
(X=1,Y=2 或 X=2,Y=1 对答案无影响)
x=1,y=2
17
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