x y = 338
x = y/2
y^2/2 = 338
y^2 = 676
y = -26
The other number is -13
x = y/2
y^2/2 = 338
y^2 = 676
y = -26
The other number is -13
Let's say that one of the numbers is 'x', and the other number is 'y'. Since it's given that one number is half the other, we can set up the equation:
x = (1/2)y
Now we know that the product of two negative numbers is 338. We can set up another equation using this information:
xy = 338
Substituting the first equation into the second equation, we get:
(1/2)y * y = 338
Next, we can simplify the equation:
(1/2)y^2 = 338
To solve for 'y', we can multiply both sides of the equation by 2:
y^2 = 676
Taking the square root of both sides, we find:
y = ±√676
y = ±26
Since the numbers are negative, the value of 'y' is -26.
To find 'x', we substitute the value of 'y' into the first equation:
x = (1/2)(-26)
x = -13
So the two numbers are -13 and -26.