find the quadratic equation of x2-x-10=0
Answers
Answered by
2
Answer:
Use the quadratic formula to find roots:
x
=
−
1
2
±
√
39
2
i
Explanation:
x
2
+
x
+
10
=
0
is of the form
a
x
2
+
b
x
+
c
=
0
with
a
=
1
,
b
=
1
and
c
=
10
.
It has discriminant
Δ
given by the formula:
Δ
=
b
2
−
4
a
c
=
1
2
−
(
4
⋅
1
⋅
10
)
=
1
−
40
=
−
39
Since this is negative, this quadratic equation has no Real roots.
It has a Complex conjugate pair of roots given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
=
−
b
±
√
Δ
2
a
=
−
1
±
√
−
39
2
=
−
1
±
√
39
i
2
=
−
1
2
±
√
39
2
i
Answered by
0
Here is ur answer
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