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National and Regional Contests
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(China) National High School Mathematics League
2023 China Second Round
6
6
Part of
2023 China Second Round
Problems
(1)
China Second Round Olympiad 2023 Test 1 Q 6
Source: Sep 10, 2023
9/10/2023
Let
a
,
b
,
c
a,b,c
a
,
b
,
c
be the lengths of the three sides of a triangle and
a
,
b
a,b
a
,
b
be the two roots of the equation
a
x
2
−
b
x
+
c
=
0
ax^2-bx+c=0
a
x
2
−
b
x
+
c
=
0
(
a
<
b
)
.
(a<b) .
(
a
<
b
)
.
Find the value range of
a
+
b
−
c
.
a+b-c .
a
+
b
−
c
.
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