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Mathematics
Mathematics
Problem
For what values of
t
t
t
does the equation
x
2
−
4
t
x
+
(
t
+
5
)
=
0
x^{2} - 4tx + (t + 5) = 0
x
2
−
4
t
x
+
(
t
+
5
)
=
0
have no real roots? a)
−
1
≤
t
≤
5
4
-1 \le t \le \dfrac{5}{4}
−
1
≤
t
≤
4
5
b)
t
<
−
1
or
t
>
5
4
t < -1 \text{ or } t > \dfrac{5}{4}
t
<
−
1
or
t
>
4
5
c)
−
1
<
t
<
5
4
-1 < t < \dfrac{5}{4}
−
1
<
t
<
4
5
d)
t
=
−
1
or
t
=
5
4
t = -1 \text{ or } t = \dfrac{5}{4}
t
=
−
1
or
t
=
4
5
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