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NDA Math Quadratic Equations and Inequations
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© examsnet.com
Question : 41
Total: 67
The sum of all real roots of the equation
|
x
−
3
|
2
+
|
x
−
3
|
−
2
=
0
is
[NDA II 2017]
2
3
4
6
Validate
Solution:
|
x
−
3
|
2
+
|
x
−
3
|
−
2
=
0
Let
|
x
−
3
|
=
y
⇒
y
=
−
1
±
√
1
+
8
2
=
−
1
±
3
2
⇒
y
=
1
or
−
2
(
−
2
Rejected as y is +ve)
⇒
y
=
1
⇒
|
x
−
3
|
=
1
⇒
x
−
3
=
1
or
x
−
3
=
1
⇒
x
=
4
or 2
∴ sum of roots
=
6
© examsnet.com
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