Question

Hey! Can u help me with this?

If (y-5) and (y-15) are factors of ay²- 26y + b, find whether a>b, a<b or a=b.

Answer 1

y=5,
a*5²-26*5+b=0
25a-130+b=0
25a+b=130.......(1)

y=15,
a*15²-26*15+b=0
225a+b=390........(2)

(2)-(1),
200a=260
a=1.3
b=97.5
b>a, or a<b...