Question

find two numbers whose difference is 100 and whose product is a minimum. 2. a farmer wants to fence an area of 1.5 million square feet in a rectangular field and then divide it in half with a fence parallel to the width side of the rectangle. how will he make the dimensions (length and width) so as to minimize the amount of the fence used? note: problem 3 is on the back side.

Answer 1

To find two numbers whose difference is 100 and whose product is a minimum, we can use quadratic equations. The two numbers that satisfy these conditions are 50 and 50.

Step-by-step explanation:

To find two numbers whose difference is 100 and whose product is a minimum, we need to use quadratic equations. Let's assume the two numbers as x and y. The difference between the two numbers can be expressed as x - y = 100.

The product of the numbers is xy. To minimize this product, we can use the fact that the product of two numbers is minimized when they are equal. So, x = y.

Substituting this value in the equation x - y = 100, we get y - y = 100. Solving this equation gives us y = 50. Therefore, the two numbers are 50 and 50.