2x2=2+2. Find another number pair for which the sum of the numbers is equal to the product of the numbers.?

Question

The numbers in the pair do not have to match.

Answer 1

1.5 +3 = 1.5 * 3
7 + 1.1666667 = 7 * 1.1666667
12 + (12/11) = 12 * (12/11)
x + (x/(x-1)) = x * (x/(x-1)) for all real x's where -1 >= x or x >= 2

Answer 2

0 x 0 = 0 + 0

Answer 3

None. The product is always higher when you go above 2 and always lower when you go below. It just works with 2 because you said "pair". If you'd said "Find 4 numbers" then only 4 would work.

Answer 4

how about 0 and 0?

Answer 5

n^2 = n+n
so n^2 -2n =0
n(n-2) =0 so there are only 2 possibilities
n=0 or n=2
NO other solutions!!!!!!!!!!!!!!!!!!!!!!

if there can be a pair of numbers:
xy=x+y
xy -x -y =0
x(y-1) -y =0
x= y/(y-1)
if y=0, then x=0
if y=2, then x=2
but for y>2, the quotient y/(y-1) will not be an integer... in case you were only interested in integer solutions!
y=4,
then x =4/3
etcetcetc

Answer 6

(x)(x) = x + x
x^2 = 2x
x^2 - 2x = 0
x(x - 2)
x = 0 or 2

0x0 = 0+0

Answer 7

If you mean xy = x + y, it's a simple graph, but unfortunately, there is only one point of intersection with x = y, and it's at (2,2).

Answer 8

xy=x+y
so xy-x=y
x(y-1)=y
x=y/(y-1)
any of those would work eg x=3/2 y=3

Answer 9

i agree with POLARBEAR because he gives the correct answer..........

Answer 10

zeroworks pretty well