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標題:
發問:
1.x+1/x=y 2.x^2+1/x^2=y 3.x^2+x=y 4.x^x=y 5.1/x+1/(x-1)=y 6.x^4+x^2=y 7.x/y=zxy 8.x-y=zy 9.x^3+x^2+x=y 10.x/y^2=x^z 11.(x-z)/(x+z)=y 12.(x-1)^2=y 13.(x-y)(x+y)-(x-y)^2+(x+y)^2=z 14.y+x=x^2+z 15.1/y-1/z=1/x only need answer 10 questions.
最佳解答:
1. x + 1/x = y (x + 1) / x = y x + 1 = xy x - xy = -1 x (1 - y) = -1 x = -1 / (1 - y) x = 1 / (y - 1) 7. x/y = zxy x = zxy^2 x - zxy^2 = 0 x (1 - zy^2) = 0 x = 0 8. x - y = zy x = zy + y x = y (z + 1) 11. (x - z) / (x + z) = y x - z = yx + yz x - yx = yz + z x (1 - y) = z (y + 1) x = z (y + 1) / (1 - y) 12. (x - 1)^2 = y x - 1 = y^(1/2) x = 1 + y^(1/2) 15. 1/y - 1/z = 1/x (z - y) / yz = 1/x x = yz / (z - y)
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把x變成主項!發問:
1.x+1/x=y 2.x^2+1/x^2=y 3.x^2+x=y 4.x^x=y 5.1/x+1/(x-1)=y 6.x^4+x^2=y 7.x/y=zxy 8.x-y=zy 9.x^3+x^2+x=y 10.x/y^2=x^z 11.(x-z)/(x+z)=y 12.(x-1)^2=y 13.(x-y)(x+y)-(x-y)^2+(x+y)^2=z 14.y+x=x^2+z 15.1/y-1/z=1/x only need answer 10 questions.
最佳解答:
1. x + 1/x = y (x + 1) / x = y x + 1 = xy x - xy = -1 x (1 - y) = -1 x = -1 / (1 - y) x = 1 / (y - 1) 7. x/y = zxy x = zxy^2 x - zxy^2 = 0 x (1 - zy^2) = 0 x = 0 8. x - y = zy x = zy + y x = y (z + 1) 11. (x - z) / (x + z) = y x - z = yx + yz x - yx = yz + z x (1 - y) = z (y + 1) x = z (y + 1) / (1 - y) 12. (x - 1)^2 = y x - 1 = y^(1/2) x = 1 + y^(1/2) 15. 1/y - 1/z = 1/x (z - y) / yz = 1/x x = yz / (z - y)
其他解答:
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