Question

Solve it please-
The sum of the square of a negative integer other than zero and it's absolute value is zero. Find the number​

Answer 1

Given: The sum of the square of a negative integer and it's absolute value is zero.

To find: Find the number​?

Solution:

• So very first, let the negative number be x .

• Then its square is x² as given in the question.

• Then ​its absolute value will be: mod(x)

• Now we have given that sum of these two is 0. So:

                x² + mod(x)  = 0

• This can be rewritten as:

                mod(x) ² + mod(x)  = 0

• Now taking mod (x) common, we get:

                mod(x)  ( mod(x)  + 1) = 0

• Now, either mod(x)   = 0  or mod(x)  + 1 = 0, but it is given that sum is other than 0.

• So  mod(x) + 1 = 0

              mod(x) = -1  ............which is not possible

• So from this we can conclude that no such negative number exists.

Answer:

          No such number exist.