Answer:
x² + 1 = 0
Step-by-step explanation:
You can form any with discriminant negative (B²-4AC < 0)
An example could be:
x² + 1 = 0
x² = -1 which has no real roots/solutions
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.
![[\because \beta=-2\alpha]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cbeta%3D-2%5Calpha%5D)
...(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.
The answer is C
It’s C because like terms have the same variable.
Answer:
a) 0.1108
(b) 0.0173
Step-by-step explanation:
We are given that 20% of all stock investors are retired people. A random sample of 25 stock investors is taken.
Firstly, the binomial probability is given by;
where, n = number of trails(samples) taken = 25
r = number of successes
p = probability of success and success in our question is % of
retired people i.e. 20%.
Let X = Number of people retired
(a) Probability that exactly seven are retired people = P(X = 7)
P(X = 7) =
= = 0.1108
(b) Probability that 10 or more are retired people = P(X >= 10)
P(X >= 10) = 1 - P(X <= 9)
Now, using binomial probability table, we find that P(X <= 9) is 0.98266 at n = 25, p = 0.2 and x= 9
So, P(X >= 10) = 1 - 0.98266 = 0.0173.
