We are asked to complete the given Diamond Problem. Let's start by comparing the given diagram with the pattern used in the problem!
In the given diamond, y is - 1. We can fill the remaining corners when we find a number corresponding to x such that the product xy is equal to 6.
xy= 6 ⇒ x (- 1)=6
Notice that we got an equation that we can solve for x. Let's do it!
Let's start by analyzing the given diagram and the pattern used in the problem!
We can fill the remaining corners when we find two rational numbers that sum up to 10 and have a product of 24. To find these numbers, let's think of different pairs of numbers that we can multiply to get 24 and calculate their sums till we find the pair that sums up to 10.
Product (xy)
Sum (x+y)
Is Sum Equal to 10?
24=1(24)
1+24=25
*
24=2(12)
2+12=14
*
24=3(8)
3+8=11
*
24=4(6)
4+6=10
✓
Notice that 4 and 6 are the numbers for which the product is 24 and the sum is 10. We can use this information to fill our Diamond Problem.
Remember that this is one of the possible solutions. The Diamond Problem for x=6 and y=4 also corresponds to the pattern.
