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Byju's Answer
Standard XII
Mathematics
Determinant
The sum of al...
Question
The sum of all real value of
x
for which
3
x
2
−
9
x
+
17
x
2
+
3
x
+
10
=
5
x
2
−
7
x
+
19
3
x
2
+
5
x
+
12
is equal to
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Solution
3
x
2
−
9
x
+
17
x
2
+
3
x
+
10
=
5
x
2
−
7
x
+
19
3
x
2
+
5
x
+
12
⇒
3
x
2
−
9
x
+
17
5
x
2
−
7
x
+
19
=
x
2
+
3
x
+
10
3
x
2
+
5
x
+
12
⇒
3
x
2
−
9
x
+
17
5
x
2
−
7
x
+
19
−
1
=
x
2
+
3
x
+
10
3
x
2
+
5
x
+
12
−
1
⇒
−
2
x
2
−
2
x
−
2
5
x
2
−
7
x
+
19
=
−
2
x
2
−
2
x
−
2
3
x
2
+
5
x
+
12
or
⇒
E
i
t
h
e
r
x
2
+
x
+
1
=
0
5
x
2
−
7
x
+
19
No real roots
=
3
x
2
+
5
x
+
12
2
x
2
−
12
x
+
7
=
0
sum of roots = 6
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