Answered

Sumali sa komunidad ng IDNStudy.com at simulang makuha ang mga sagot. Ang aming platform ay idinisenyo upang magbigay ng mabilis at eksaktong sagot sa lahat ng iyong mga tanong.

The roots of the quadratic equation will always be complex if m is what? 5x2−5x+m=0

Sagot :

for the roots to be complex, the discriminant must have a negative value.
having the discriminant as 
[tex] \sqrt{b^2-4ac} [/tex] or you can just check
b² - 4ac 
where c = m
for the answer to have a negative value, 4ac must be greater than b² 
then you'll have:
4(5)c > (-5)²
20c > 25
c > 5/4
c > 1.25
or
m > 5/4 or 1.25