find e,f,g,h

2009-11-21 6:29 pm
eg=45(1)
eh=80(2)
{
fg=70(3)
fh=56(4)

回答 (2)

2009-11-21 6:43 pm
✔ 最佳答案

eg = 45 ... (1)
eh = 80 ... (2)
fg = 70 ... (3)
fh = 56 ... (4)
(1)/(2) => g/h = 45/80
g = 9h/16 ... (5)
(3)/(4) => g/h = 70/56
g = 5h/4 ... (6)
Since e,f,g,h cannot be zero, (5) & (6) are inconsistent result => there is no solution
2009-11-21 9:19 pm
(1)x(2)x(3)x(4):
(efgh)^2=9x5x16x5x7x10x8x7
efgh=3x5x4x7x4 √5......(5)

但(1)x(4):
efgh=2520.........................(6)
(5)<>(6)
故無解!


收錄日期: 2021-04-23 23:20:54
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