the sum of the reciprocals of two consecutive even numbers is 23/264 find the two numbers
另外,the reciprocals呢個字咩意思
MATHS~~~~~~~~~~~~~
2006-11-03 3:53 am
回答 (3)
2006-11-03 4:00 am
✔ 最佳答案
the reciprocals就係 倒數姐係一個數-->10
佢ge倒數就係 1/10,,,十分之一
2006-11-02 20:14:30 補充：
如1/2佢的倒數就係2/1 ,,姐係2
2006-11-03 4:01 am
1/2的reciprocals是2/1
2/3的reciprocals是3/2
m/n的reciprocals是n/m
let the two numbers be x and x+2
1/x +1/(x+2)=23/264
(x+2+x)/x(x+2)=23/264
(2x+2)/(x²+2x)=23/264
23(x²+2x)=264(2x+2)
23x²+46x=528x+528
23x²-482x-528=0
x=22 or x= -24/23(rejected)
so x=22
the numbers are 22 and 24
2/3的reciprocals是3/2
m/n的reciprocals是n/m
let the two numbers be x and x+2
1/x +1/(x+2)=23/264
(x+2+x)/x(x+2)=23/264
(2x+2)/(x²+2x)=23/264
23(x²+2x)=264(2x+2)
23x²+46x=528x+528
23x²-482x-528=0
x=22 or x= -24/23(rejected)
so x=22
the numbers are 22 and 24
2006-11-03 4:00 am
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