SS1 Maths equations

2010-05-11 2:02 am
Solve the following simultaneous equations.

{5^x - 3 . 4^y = 1
{2 . 5^x = 7 . 4^y - 6

Solve the following equation

http://img517.imageshack.us/i/91114948.jpg/

回答 (4)

2010-05-11 2:21 am
✔ 最佳答案
Solve the following equation

http://img517.imageshack.us/i/91114948.jpg/ :::

(81/625)^1/6x(3/5)^X=1
(3^4/5^4)^1/6x(3/5)^X=3/5
(3/5)^4/6x(3/5)^X=3/5
4/6xX=1
4X=6
X=2/3

應該..
參考: me
2010-05-16 5:57 pm
唔好意思, 我比錯左最佳
2010-05-16 4:54 am
我給錯了正評。應是負評。
2010-05-11 2:28 am
Solve the following simultaneous equations.
{5^x - 3 . 4^y = 1....(1)
{2 . 5^x = 7 . 4^y - 6....(2)
(2) - (1)*2 :
6 * 4^y = 7 * 4^y - 8
4^y = 8
2^2y = 2^3
2y = 3
y = 3/2
sub it to (2) :
2 * 5^x = 7*8 - 6
5^x = 25
x = 2

[(81/625)^(1/6)] * (3/5)^x = 1
[(3/5)^(4/6)] * (3/5)^x = 1
(3/5) ^ (x + 4/6) = 1 = (3/5)^0
x + 4/6 = 0
x = - 2/3

2010-05-15 13:53:01 補充:
兩題問題只做了一題,而且做錯。不明白為何會得最佳解答??!!

2010-05-16 10:59:50 補充:
eicachan , 小樹熊 :

不要緊,謝謝!!


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