兩個數的差等於6, 積等於16, 求這兩個數.
回答 (6)
2006-10-19 4:38 am
✔ 最佳答案
xy=16,x-y=6x-y=6
x=6+y
y(6+y)=16
y^2+6y-16=0
(y-2)(y+8)=0
y=2,-8
therefore the answer is:
x=-2, y= -8 or x=8, y=2
2006-10-23 11:12:31 補充：
The answer is -2, -8 and 2, 8
2006-10-21 6:22 am
8 and 2
8-2=6
8*2=16
8-2=6
8*2=16
2006-10-19 5:16 am
這兩個數是8和2
2006-10-19 3:55 am
8 and 2
2006-10-19 3:50 am
let one of the numbers be x
the other number will be 6+x
x(6+x)=16
x²+6x=16
x²+6x-16=0
(x-2)(x+6)=0
x=2 or x=-6(rejected because 6+(-6)=0)
so the two numbers are 2 and 8
the other number will be 6+x
x(6+x)=16
x²+6x=16
x²+6x-16=0
(x-2)(x+6)=0
x=2 or x=-6(rejected because 6+(-6)=0)
so the two numbers are 2 and 8
2006-10-19 3:47 am
Let X is larger than y
x-y = 6
xy =16
x = 8
y =2
x-y = 6
xy =16
x = 8
y =2
收錄日期: 2021-04-12 23:45:58
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