find the roots of the quadratic equation 5x^2-x-2=0
Answers
Answered by
1
Answer:
1 Answer
Don't Memorise
Aug 12, 2015
The solutions are:
x
=
1
+
√
11
5
x
=
1
−
√
11
5
Explanation:
5
x
2
−
2
x
–
2
=
0
The equation is of the form
a
x
2
+
b
x
+
c
=
0
where:
a
=
5
,
b
=
−
2
,
c
=
−
2
The Discriminant is given by:
Δ
=
b
2
−
4
⋅
a
⋅
c
=
(
−
2
2
)
−
(
4
⋅
5
⋅
(
−
2
)
)
=
4
+
40
=
44
The solutions are found using the formula:
x
=
−
b
±
√
Δ
2
⋅
a
x
=
−
(
−
2
)
±
√
44
2
⋅
5
=
2
±
2
√
11
10
=
2
(
1
±
√
11
)
10
=
1
±
√
11
5
The solutions are:
x
=
1
+
√
11
5
x
=
1
−
√
11
5
Similar questions