Question

what value of c makes the expression a perfect square?
x^2+x+c

Answer 1

c=1/4

Answer 2

howd u get that?

Answer 3

\[(x + a)^2 = x^2 + 2ax + a^2 = x^2 + x + c\]so\[2a = 1 \Rightarrow a = \frac{1}{2} \Rightarrow c = a^2 = \frac{1}{4}.\]