Answered

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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