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Problem
Problem
The equation
a
x
2
+
b
x
+
c
=
0
ax^2 + bx + c = 0
a
x
2
+
b
x
+
c
=
0
, where
a
,
b
,
c
a, b, c
a
,
b
,
c
are the sides of a
Δ
A
B
C
\Delta ABC
Δ
A
B
C
, and the equation
x
2
+
2
x
+
1
=
0
x^2 + \sqrt{2}x + 1 = 0
x
2
+
2
x
+
1
=
0
have a common root. Find measure for
∠
C
\angle C
∠
C
.
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