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Byju's Answer
Standard XII
Mathematics
Graph of Quadratic Expression
If a, b, g ...
Question
If
a
,
b
,
g
are the roots of the equation
(
x
−
2
)
(
x
2
+
6
x
−
11
)
=
0
therefore
(
a
+
b
+
g
)
equals
A
−
4
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B
23
6
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C
13
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D
−
8
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Solution
The correct option is
A
−
4
Given,
(
x
−
2
)
(
x
2
+
6
x
−
11
)
=
0
x
3
+
6
x
2
−
11
x
−
2
x
2
−
12
x
−
22
=
0
x
3
+
4
x
2
−
23
x
−
22
=
0
Then
a
=
1
,
b
=
4
g
=
−
22
Sum of roots
(
a
+
b
+
g
)
=
−
b
a
=
−
4
1
=
−
4
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0
Similar questions
Q.
If the equation 9x
2
+ 6kx + 4 = 0 has equal roots, then the roots are both equal to
(a)
±
2
3
(b)
±
3
2
(c) 0
(d) ±3