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i) b²-4ac<0 then the equation has no real roots

ii) b²-4ac=0 to then the equation has 1 repeating real root

iii) b²-4ac>0 then the equation 2 different, real roots

as such, for the equation, x²-10x+(4-m)>0

a=1; b= -10; c=4-m, hence for b²-4ac<0

(-10)²-4(1)(4-m)<0

100-4(4-m)<0

100-16+4m<0

84+4m<0

4m<-84

m<-21