Question

Why can't there be two integers that their sum is same as multiplication?

Answer 1

Answer:

There can't be two integers such that their sum can't be their multiplication because a+b is not equal to a+b.

But a single number if added to itself and multiplied to itself can give a same result.

There are two numbers for such a trial.

That are 0 and 2.

0+0=0

0×0=0

2+2=4

2×2=4

HOPE THIS BRING A SMILE IN YOUR FACE

Step-by-step explanation:

Answer 2

Answer:

Let the the number be x and y, and we want numbers such that :

x * y = x + y

Rewriting the equation, we get xy - x - y = 0.

Add 1 to both sides to get (x - 1)(y - 1) = 1.

Since we know x and y are both integers, x - 1 and y - 1 will become integers.

But we cannot find a solution pair since we know 'if ab=1, the solution is (a,b)=(1,1), (-1,-1).'

Therefore, there is no solution pairs of x and y.