Question

determine the constant that should be added to the binomial so that it becomes a perfect sqr trinomial.

Then write the factorization

X^2-x

Answer 1

make the constant \[\left( \frac{1}{2} \right)^2=\frac{1}{4}\]to get the perfect square trinomial expression\[x^2-x+\frac{1}{4}\]

Answer 2

so it looks as if the constant can really be anything