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x^2-\frac{m^2+1}{m -1}x+2m+2=0 - Greece Juniors 1990 p4
x^2-\frac{m^2+1}{m -1}x+2m+2=0 - Greece Juniors 1990 p4
Source:
September 14, 2024
algebra
trinomial
Problem Statement
For which real values of
m
m
m
does the equation
x
2
−
m
2
+
1
m
−
1
x
+
2
m
+
2
=
0
x^2-\frac{m^2+1}{m -1}x+2m+2=0
x
2
−
m
−
1
m
2
+
1
x
+
2
m
+
2
=
0
has root
x
=
−
1
x=-1
x
=
−
1
?
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