What is the mathmatic reason for some quadratic equations have only one answer, rather than the usual two? i suppose that sometimes it concerns limitations involving zero: can't divide by it, etc.

below

Step-by-step explanation:

According to the Fundamental Theorem  of Algebra a quadratic has 2 solutions. When we find only one solution we write it as , say, ,3 multiplicity 2'. In other words 2 solutions which are duplicates.

For example x^2 + 4x + 4 = 0 factors to:

(x + 2)(x + 2) = 0

so x = -2 multiplicity 2.

The graph of this function will be the usual U shaped curve where the vertex just touches the x axis at the point (-2, 0).

hdjd

step-by-step explanation:

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !