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6
a^2(b+c)=b^2(c+a)=2023
a^2(b+c)=b^2(c+a)=2023
Source: Moldova JTST 2023
May 5, 2023
algebra
Problem Statement
Real numbers
a
,
b
,
c
a,b,c
a
,
b
,
c
with
a
≠
b
a\neq b
a
=
b
verify
a
2
(
b
+
c
)
=
b
2
(
c
+
a
)
=
2023.
a^2(b+c)=b^2(c+a)=2023.
a
2
(
b
+
c
)
=
b
2
(
c
+
a
)
=
2023.
Find the numerical value of
E
=
c
2
(
a
+
b
)
E=c^2(a+b)
E
=
c
2
(
a
+
b
)
.
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