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Mathematics
Mathematics
Problem
The quadratic equation
x
2
+
2
(
m
−
1
)
x
+
(
m
2
−
5
m
+
6
)
=
0
x^{2}+2(m-1)x+(m^{2}-5m+6)=0
x
2
+
2
(
m
−
1
)
x
+
(
m
2
−
5
m
+
6
)
=
0
depends on the real parameter
m
m
m
. (i) Determine the value of
m
m
m
for which the equation possesses equal real roots. (ii) For this value of
m
m
m
, calculate the equal root.
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