標題:
發問:
(a+z)/y=4a (b+z)/a=5c (c+d)/c=4d c/(a*b)=7 a+y+z=7c c+a+y=5z 搵a,b,c,d,y,z 要列step 更新: a,b,c,d,y,z不是整數
最佳解答:
(a+z)/y=4a......(1) (b+z)/a=5c......(2) (c+d)/c=4d......(3) c/(a*b)=7......(4) a+y+z=7c......(5) c+a+y=5z......(6) (5) - (6) : z - c = 7c - 5z z : c = 4 : 3 Let z = 4k , c = 3k , sub to (1) ---- (4) , get (7)----(10) ; sub to (5) or (6) , get (11) : (a + 4k) = 4ay......(7) (b + 4k) = 15ak......(8) (3k + d) = 12dk......(9) 3k = 7ab......(10) a + y = 20k......(11) By (10) : k = 7ab/3 , sub it to (8) : (b + 28ab/3) = 35(a^2) b , by (4) b <> 0 , so (1 + 28a/3) = 35a^2 a = 0.3486220 or - 0.0819553 , sub to (7) and (11) : When a = 0.3486220 : 0.3486220 + 4k = 1.3944880y 0.3486220 + y = 20k Solve it : y = 0.3502307 , k = 0.0349426 so z = 4k = 0.1397704 , c = 3k = 0.1048278 By (10) : 0.1048278 = 7(0.3486220)b b = 0.0429560 By (9) : 0.1048278 + d = 12d(0.0349426) d = - 0.1805232 When a = - 0.0819553 : - 0.0819553 + 4k = -0.3278212y - 0.0819553 + y = 20k Solve it : y = 0.1863251 , k = 0.0052185 so z = 4k = 0.0208740 , c = 3k = 0.0156555 By (10) : 0.0156555 = 7(- 0.0819553)b b = - 0.0272893 By (9) : 0.0156555 + d = 12d(0.0052185) d = - 0.0167014 2010-03-31 21:30:58 補充： (11) should be a + y = 17k......(11) 2010-03-31 22:09:50 補充： a = 0.3486220 or - 0.0819553 , sub to (7) and (11) : When a = 0.3486220 : 0.3486220 + 4k = 1.3944880y 0.3486220 + y = 17k Solve it : y = 0.3715088 , k = 0.0423606 so z = 4k = 0.1694424 , c = 3k = 0.1270818 By (10) : 0.1270818 = 7( 0.3486220 )b b = 0.0520751 By (9) : 0.1270818 + d = 12d(0.0423606) 2010-03-31 22:11:39 補充： d = - 0.2584682 2010-03-31 22:15:03 補充： Answer 1 : a = 0.3486220 b = 0.0520751 c = 0.1270818 d = - 0.2584682 y = 0.3715088 z = 0.1694424 2010-03-31 22:31:15 補充： When a = - 0.0819553 : - 0.0819553 + 4k = -0.3278212y - 0.0819553 + y = 17k Solve it : y = 0.1797836 , k = 0.0057546 so z = 4k = 0.0230184 , c = 3k = 0.0172638 By (10) : 0.0172638 = 7(- 0.0819553)b b = - 0.0300927 By (9) : 0.0172638 + d = 12d(0.0057546) d = - 0.0185444 2010-03-31 22:32:28 補充： Answer 2 : a = - 0.0819553 b = - 0.0300927 c = 0.0172638 d = - 0.0185444 y = 0.1797836 z = 0.0230184
其他解答:
(a+z)/y=4a a+z=4ay z=4ay-a (b+z)/a=5c b+z=5ca b=5ca-z (c+d)/c=4d c+d=4dc d=4dv-c c/(a*b)=7 c=7(a*b) a+y+z=7c a=7c-y-z c+a+y=5z y=5z-a-c 我希望這是你想要的答案。 HOPE I CAN HELP YOU!
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Maths六式方程發問:
(a+z)/y=4a (b+z)/a=5c (c+d)/c=4d c/(a*b)=7 a+y+z=7c c+a+y=5z 搵a,b,c,d,y,z 要列step 更新: a,b,c,d,y,z不是整數
最佳解答:
(a+z)/y=4a......(1) (b+z)/a=5c......(2) (c+d)/c=4d......(3) c/(a*b)=7......(4) a+y+z=7c......(5) c+a+y=5z......(6) (5) - (6) : z - c = 7c - 5z z : c = 4 : 3 Let z = 4k , c = 3k , sub to (1) ---- (4) , get (7)----(10) ; sub to (5) or (6) , get (11) : (a + 4k) = 4ay......(7) (b + 4k) = 15ak......(8) (3k + d) = 12dk......(9) 3k = 7ab......(10) a + y = 20k......(11) By (10) : k = 7ab/3 , sub it to (8) : (b + 28ab/3) = 35(a^2) b , by (4) b <> 0 , so (1 + 28a/3) = 35a^2 a = 0.3486220 or - 0.0819553 , sub to (7) and (11) : When a = 0.3486220 : 0.3486220 + 4k = 1.3944880y 0.3486220 + y = 20k Solve it : y = 0.3502307 , k = 0.0349426 so z = 4k = 0.1397704 , c = 3k = 0.1048278 By (10) : 0.1048278 = 7(0.3486220)b b = 0.0429560 By (9) : 0.1048278 + d = 12d(0.0349426) d = - 0.1805232 When a = - 0.0819553 : - 0.0819553 + 4k = -0.3278212y - 0.0819553 + y = 20k Solve it : y = 0.1863251 , k = 0.0052185 so z = 4k = 0.0208740 , c = 3k = 0.0156555 By (10) : 0.0156555 = 7(- 0.0819553)b b = - 0.0272893 By (9) : 0.0156555 + d = 12d(0.0052185) d = - 0.0167014 2010-03-31 21:30:58 補充： (11) should be a + y = 17k......(11) 2010-03-31 22:09:50 補充： a = 0.3486220 or - 0.0819553 , sub to (7) and (11) : When a = 0.3486220 : 0.3486220 + 4k = 1.3944880y 0.3486220 + y = 17k Solve it : y = 0.3715088 , k = 0.0423606 so z = 4k = 0.1694424 , c = 3k = 0.1270818 By (10) : 0.1270818 = 7( 0.3486220 )b b = 0.0520751 By (9) : 0.1270818 + d = 12d(0.0423606) 2010-03-31 22:11:39 補充： d = - 0.2584682 2010-03-31 22:15:03 補充： Answer 1 : a = 0.3486220 b = 0.0520751 c = 0.1270818 d = - 0.2584682 y = 0.3715088 z = 0.1694424 2010-03-31 22:31:15 補充： When a = - 0.0819553 : - 0.0819553 + 4k = -0.3278212y - 0.0819553 + y = 17k Solve it : y = 0.1797836 , k = 0.0057546 so z = 4k = 0.0230184 , c = 3k = 0.0172638 By (10) : 0.0172638 = 7(- 0.0819553)b b = - 0.0300927 By (9) : 0.0172638 + d = 12d(0.0057546) d = - 0.0185444 2010-03-31 22:32:28 補充： Answer 2 : a = - 0.0819553 b = - 0.0300927 c = 0.0172638 d = - 0.0185444 y = 0.1797836 z = 0.0230184
其他解答:
(a+z)/y=4a a+z=4ay z=4ay-a (b+z)/a=5c b+z=5ca b=5ca-z (c+d)/c=4d c+d=4dc d=4dv-c c/(a*b)=7 c=7(a*b) a+y+z=7c a=7c-y-z c+a+y=5z y=5z-a-c 我希望這是你想要的答案。 HOPE I CAN HELP YOU!
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