Question

find the value of c to complete the square: x^2-6/5x+c

Answer 1

in form
ax^2+bx+c
if a=1, then for it to be a perfect squaer trinomail
c=(b/2)^2

so

x^2-6/5x+c
a=1
so
(-6/5/2)^2=c=(-3/5)^2=9/25

c=9/25
it would factor to
(x-3/5)^2