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Tardigrade
Question
Mathematics
If the product of the roots of the equation x2-3 x+k+5=0 is 7 , then the roots are real for k=
Q. If the product of the roots of the equation
x
2
−
3
x
+
k
+
5
=
0
is 7 , then the roots are real for
k
=
267
165
Complex Numbers and Quadratic Equations
Report Error
A
2
B
3
C
−
2
D
ϕ
Solution:
x
2
−
3
x
+
k
+
5
=
0
∵
Product of the roots
=
7
⇒
k
+
5
=
7
∴
k
=
2
.
Now for
k
=
2
, disc
<
0
⇒
no real roots