Suppose the smaller of the 2 numbers is x.
Then the other is x+6
Their product is x*(x+6) = x2 + 6x
Setting the derivative equal to 0 gives 2x + 6 = 0 or x = -3
When x = -3, the other number is -3+3 = 3 and their product is -9.
11
-2.5 and 2.5
-76 and 76 whose product is -5776.
-5 * 5 = -25
Suppose the smaller of the two numbers is x. Then the other number is x+22. Their product is x*(x+22) = x2 + 22x This has a minimum when 2x = -22 or x = -11. When x = 11, the two numbers are -11 and 11 with a product of -121.
11
-12
-2.5 and 2.5
-76 and 76 whose product is -5776.
-5 * 5 = -25
-14 and 14, giving a product of -196.
Suppose the smaller of the two numbers is x. Then the other number is x+22. Their product is x*(x+22) = x2 + 22x This has a minimum when 2x = -22 or x = -11. When x = 11, the two numbers are -11 and 11 with a product of -121.
Suppose the smaller of the two numbers is x. Then the larger is x + 16 and their product is x*(x+16) = x2 + 16x This has its minimum when 2x = -16 or x = -8 When x = -8, the two numbers are -8 and 8 and their product is -64.
Multiply the numbers
Sum of squares? Product?
What two numbers have a difference of three a d a product of 40
If their GCF is 1, their LCM is their product. If their GCF is greater than 1, their LCM is less than their product.