Question

Which value must be added to the expression x2 + x to make it a perfect-square trinomial?

Answer 1

x^2

Answer 2

half of the coefficient on x, then squared

Answer 3

so 1/2^2

Answer 4

yes (½)²
and (½)² = ?

Answer 5

1/4!

Answer 6

\(({\large ½})^2~=~^{1^2}/_{2^2}~=~^1/_4\)

Answer 7

yes, and that is what you should add.

Answer 8

x²+x+\(\color{red}{\large ¼}\)