-3 and -11 form quadratic equation from roots given
Answers
Answered by
0
Answer:
A root
x
=
a
corresponds to a factor
(
x
−
a
)
.
So in our example, the quadratic must have factors
(
x
−
2
)
and
(
x
+
8
)
.
The simplest quadratic would be the monic (having leading coefficient
1
) one:
(
x
−
2
)
(
x
+
8
)
=
x
2
+
6
x
−
16
So the quadratic equation you are looking for is:
x
2
+
6
x
−
16
=
0
Any non-zero scalar multiple of this quadratic would also be suitable.
Feb 16, 2018
x
2
+
6
x
−
16
=
0
.
Explanation:
The Quadr. Eqn. having roots
α
and
β
is given by,
(
x
−
α
)
(
x
−
β
)
=
0
,
i
.
e
.
,
x
2
−
(
α
+
β
)
x
+
(
α
⋅
β
)
=
0
.
As
α
=
2
and
β
=
−
8
,
it follows that, the desired eqn. is,
x
2
−
(
2
−
8
)
x
+
(
2
)
(
−
8
)
=
x
2
+
6
x
−
16
=
0
.
Answered by
0
Answer:
YOUR ANSWER IS IN THE ABOVE PICTURE...
PLEASE MARK ME AS A BRAINLISTS....
HOPE IT WILL HELP YOU......
Attachments:
Similar questions