The solution of a quadratic equation
a
x
2
+
b
x
+
c
=
0
, using quadratic formula is given by
−
b
±
√
b
2
−
4
a
c
2
a
Hence the solution of
x
2
+
3
x
+
1
=
0
is given by
x
=
−
3
±
√
3
2
−
4
⋅
1
⋅
1
2
⋅
1
or
x
=
−
3
±
√
9
−
4
2
=
−
3
±
√
5
2
Hence solution is given by irrational numbers
−
3
+
√
5
2
and
−
3
−
√
5
2
.