F3二元1次方程數學

2009-07-12 5:39 pm
瑪莉比妹妹莉莉年紀大6歲,如果瑪莉今年的年歲自乘,與莉莉今年歲的2倍相差60歲的話,求瑪莉今年的年歲?

甘列式唔係..............
設瑪莉為X歲,莉莉Y歲
X-Y=6
XxX=2Y-60


我唔知點解計唔到.我有無列錯式?如有可以寫過程給我嗎?



仲有
X^2+7X=15 係未出錯題?

回答 (2)

2009-07-12 6:16 pm
✔ 最佳答案
X - Y = 6 is correct.
(X)(X) = 2Y - 60 is wrong. It should be (X)(X) - 2Y = 60
that is (X)(X) = 2Y + 60.
So X^2 = 2(X - 6) + 60
X^2 = 2X - 12 + 60
X^2 - 2X - 48 = 0
(X + 6)(X - 8) = 0
X = - 6 (rej.)
X = 8.

X^2 + 7X = 15
X^2 + 7X - 15 = 0
You have to use formula or use calculator to get the answer.



2009-07-12 10:17:33 補充:
Q1. Y = X - 6 = 2.

2009-07-12 10:21:54 補充:
Q2. Question is OK, answer are : - 8.72 and 1.72 ( to 3 sig. fig.)
2009-07-12 11:43 pm
相差60歲可以是
XxX=2Y-60
亦可以是
2Y=XxX-60


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