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Byju's Answer
Standard X
Mathematics
Quadratic Formula
Solve: 4x+2...
Question
Solve:
(
4
x
+
2
)
√
x
2
+
x
+
1
=
0
. The sum of values of x satisfying the above equation is
−
a
b
where
a
,
b
are co-prime. Find
a
+
b
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Solution
(
4
x
+
2
)
√
x
2
+
x
+
1
=
0
⇒
4
x
+
2
=
0
(since
√
x
2
+
x
+
1
=
0
has Imaginary roots)
⇒
x
=
−
2
4
Sum of values of
x
satisfying above equation
=
−
2
4
=
−
1
2
(since
1
and
2
are co-prime)
so,
a
=
1
and
b
=
2
and
a
+
b
=
3
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