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Problem
Problem
If
2
a
+
3
b
+
6
c
=
0
2a + 3b + 6c = 0
2
a
+
3
b
+
6
c
=
0
;
a
,
b
,
c
i
n
R
a, b, c in \mathbb{R}
a
,
b
,
c
in
R
, then show that the equation
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
has atleast one root between 0 and 1.
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