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1
Find number t for which 2a^2-3abt+b^2=2a^2+abt-b^2=0
Find number t for which 2a^2-3abt+b^2=2a^2+abt-b^2=0
Source:
November 14, 2010
algebra proposed
algebra
Problem Statement
For a real number
t
t
t
and positive real numbers
a
,
b
a,b
a
,
b
we have
2
a
2
−
3
a
b
t
+
b
2
=
2
a
2
+
a
b
t
−
b
2
=
0
2a^2-3abt+b^2=2a^2+abt-b^2=0
2
a
2
−
3
ab
t
+
b
2
=
2
a
2
+
ab
t
−
b
2
=
0
Find
t
.
t.
t
.
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