X = 3/2, -4
Get yourself a graphics calculator :)
Answer:
pairs of numbers is 3,-3
Step-by-step explanation:
The computation is shown below:
Let us assume a and b are the pairs of the numbers whose difference is 6
i.e.
a - b = 6
a = 6 + b
So
f = ab
f = (6 + b)b is minimum
Now
d ÷ db (6+ b)b = 0
(6+ b) + b = 0
2b = -6
b = -3
Now
a = 6 + b
= 3
So pairs of numbers is 3,-3
2x - 3y = -24
x+ 6y = 18
you solve the first one by the x:
2x = -24 + 3y
x = (-24+3y)/2
then you substitute what you found in the other equation and you solve by y
(-24+3y)/2 + 6y = 18 multiply everything by 2
-24 + 3y + 12y = 36
3y + 12y = 36 + 24
15y = 60
y = 60/15
y = 4
Good job! You found your y! :D
Now let's substitute the y in the first equation with 4:
2x - 3(4) = -24
2x - 12 = -24
2x = -24 + 12
2x = -12
x = -12/2
x= -6
Done!! ;) <span />
n(A-B) denotes elements which are in A but not in B
n(Au B) denotes elements in A and B
n(AnB) denotes elements that are common in A and B
Now I will add one more set
n(B-A) which denotes elements in B but not in A
So, n(AuB) = n(A-B) + n( B-A) +n(AnB)
70 = 18 +n(B-A) + 25
70 = 43 + n(B-A)
n(B-A) = 70-43
n(B-A) = 27
So, n(B) = n( B-A) + n( AnB)
= 27+25
= 52
