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Byju's Answer
Standard XII
Mathematics
Nature of Roots
Sum of the ro...
Question
Sum of the roots of the equation
(
x
−
2
)
2
−
2
|
x
−
2
|
−
15
=
0
, is:
A
4
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B
0
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C
−
4
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D
8
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Solution
The correct option is
A
4
|
x
−
2
|
=
t
t
2
−
2
t
−
15
=
0
(
t
−
5
)
(
t
+
3
)
=
0
t
2
−
3
t
2
+
5
t
<
0
∴
t
=
5
x
−
2
=
5
x
=
7
x
−
2
=
−
5
x
=
−
3
∴
sum of roots
=
7
−
3
=
4
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0
Similar questions
Q.
If
α
,
β
are the roots of the equation
x
2
+
4
x
−
1
=
0
, then the equation whose roots are
3
α
−
5
,
3
β
−
5
is
Q.
A quadratic equation whose one root is 2 and the sum of whose roots is zero, is
(a) x
2
+ 4 = 0
(b) x
2
− 4 = 0
(c) 4x
2
− 1 = 0
(d) x
2
− 2 = 0