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Problem
Problem
- If
a
,
b
,
c
∈
R
,
a
≠
0
a, b, c \in \mathbb{R}, a \neq 0
a
,
b
,
c
∈
R
,
a
=
0
and the quadratic equation,
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
has no real root, then show that
a
(
a
+
b
+
c
)
>
0
a(a+b+c) > 0
a
(
a
+
b
+
c
)
>
0
.
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