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Let
f
(
x
)
=
a
x
2
+
b
x
+
1
−
a
b
f(x)=ax^2+bx+1-ab
f
(
x
)
=
a
x
2
+
b
x
+
1
−
ab
with
a
>
0
a>0
a
>
0
. If the sum of the solutions to
f
(
x
)
=
0
f(x)=0
f
(
x
)
=
0
is
2025
2025
2025
, find the minimum possible value of their product.
A.
0
B.
45
C.
90
D.
2025
E.
NOTA
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