Given the graph, find the initial value of the domain [ ___, 2].
1 answer:
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Given:
One of the two roots of the given equation is double the additive inverse of the other.
To find:
The value of k.
Solution:
Let two roots of the given equation are and
.
According to the question,
(Additive inverse of
is
)
If and
are roots of the quadratic equation
then
We have,
Here, a =1, b=k and c=-98.
...(i)
Now,
Divide both sides by -2.
Taking square root on both sides.
Using (i), we get
Therefore, the value of k is either -1 or 1.