Question

if y-2 and y-1/2 are factor of my²+5y+n then show that m-n=0?​

Answer 1

y-2 and y-1/2 are factors of my²+5y+n

i.e 2,1/2 are roots of my²+5y+n=0

so, 4m+10+n=0 ----(1)

and m/4+5/2+n=0-----(2)

from (1)&(2), 15m/4+15/2=0

m=-2

so (1) => -8+10+n=0

n=-2

so. m=n => m-n=0