Given that x is a number that is not negative, kelvin conjectured that x^2> x+1 . which value is a counterexample to kelvin's conjecture? −12 −2 0 5

x=0  is a counterexample to Kelvin's conjecture.

Explanation:-

Given that x is a number that is not negative, Kelvin conjectured that

A counter example is an example that contradicts or opposes the conjecture.

Thus -12 and -2 cannot be the value of x for the counter example as they are negative

The positive numbers in options are 0 and 5,such that

Thus the value of x=0 contradicts the conjecture made by Kevin.

⇒x=0  is a counterexample to Kelvin's conjecture.

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square