Using the discriminant, the quadratic equation that has complex solutions is given by:
x² + 2x + 5 = 0.
<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>
A quadratic equation is modeled by:
y = ax² + bx + c
The discriminant is:
The solutions are as follows:
- If
, it has 2 real solutions.
- If
, it has 1 real solutions.
- If
, it has 2 complex solutions.
In this problem, we want a negative discriminant, hence the equation is:
x² + 2x + 5 = 0.
As the coefficients are a = 1, b = 2, c = 5, hence:
More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811
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Conjectures are statements believed to be true that are based upon observations.
Example: 2,4,6,8,10,12
What would be the next number? 14
Answer:
A = 0.2264
B =0.9681
C = 0.9891
Step-by-step explanation:
The concept of conditional probability is applied here, probability been the likelihood of an event occurring. two events A and B are said to be mutually exclusive is one event precludes the happening of the other event i.e one is dependent on the other one occurring.
Conditional probability on the other hand is the happening of an event taking into consideration that an event had already happened.
Let P(A) and P(B) be the probability of event and B occurring.
P(A and B) is the probability of both A and B = P(A) x P(B)
P(A or B) = is the probability of either A or b = P(A union B)
as such, P(A union B) = P(A) + P(B) - P(A and B).
The steps and appropriate explanation is as shown in the attached file.
Answer:
9 number is composite is answer
Step-by-step explanation:
1,3,9 can be exactly divided by
I hope this is helpful!
√198 ≈ 14,1
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