An equation is formed of two equal expressions. The negative integer stated in the statement is 1.
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the negative integer be represented by -a.
Given that the square of a negative integer has the same value as the sum of that integer plus 2. Therefore, the equation can be written as,
(-a)² = -a + 2
a² = -a + 2
a² + a -2 = 0
a² +2a - a -2 = 0
a(a+2) -1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2
Since a was a negative integer and we have already used the negative sign in the equation, therefore, the value of a is 1.
Hence, the negative integer stated in the statement is 1.
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