Two numbers have a difference of 8. Their product is a minimum. Determine the numbers.
How would you go about making the equation?
2006-11-04 15:25:26 · 3 answers · asked by Anonymous in Education & Reference ➔ Homework Help
The correct answer is supposed to be 4 and -4.
2006-11-04 15:31:49 · update #1
Let the greater number be x. Then the other number is x-8. Thus, we must find the minimum value of x(x-8). This is x²-8x, so the derivative of this is 2x-8. Setting this to zero, we get 2x-8=0, or x=4. Then the other number is -4, and their product is -16
2006-11-04 16:35:42 · answer #1 · answered by Pascal 7 · 1⤊ 0⤋
X - Y = 8
X * Y < 10 XY = 9
X = 9, Y = 1
2006-11-04 15:30:16 · answer #2 · answered by goodcharacter 3 · 0⤊ 0⤋
a-b=8
a*b=minimum
one possible set of solution
a=8,b=0
2006-11-04 15:31:39 · answer #3 · answered by chanljkk 7 · 0⤊ 0⤋