MathDB
Problems
Contests
National and Regional Contests
Moldova Contests
JBMO TST - Moldova
2016 Junior Balkan Team Selection Tests - Moldova
5
5
Part of
2016 Junior Balkan Team Selection Tests - Moldova
Problems
(1)
a+b =? if a^3-a^2+a-5=0 and b^3-2b^2+2b+4=0
Source: 2016 Moldova JBMO TST p5
2/20/2021
Real numbers
a
a
a
and
b
b
b
satisfy the system of equations
{
a
3
−
a
2
+
a
−
5
=
0
b
3
−
2
b
2
+
2
b
+
4
=
0
\begin{cases} a^3-a^2+a-5=0 \\ b^3-2b^2+2b+4=0 \end{cases}
{
a
3
−
a
2
+
a
−
5
=
0
b
3
−
2
b
2
+
2
b
+
4
=
0
Find the numerical value of the sum
a
+
b
a+ b
a
+
b
.
system of equations
System
algebra