數學問題集(54)---數學雜題(一)
回答 (5)
(x + y)^2 = 1^2
x^2 + 2xy + y^2 = 1
xy = -1/2
(x + y)(x^2 + y^2) = 1*2
x^3 + y^3 + xy(x + y) = 2
x^3 + y^3 = 5/2
(x^2 + y^2)^2 = 2^2
x^4 + 2(xy)^2 + y^4 = 4
x^4 + y^4 = 7/2
(x^3 + y^3)(x^4 + y^4) = (5/2)(7/2)
x^7 + y^7 + (xy)^3(x + y) = 35/4
x^7 + y^7 = 71/8
收錄日期: 2021-04-13 17:33:29
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