Answer:
it is important to learn about complex solution because polynomial equation formed over a complex number can only be solved by a complex number.
this is so because, the fundamental theorem of algebra state that every polynomial equation in one variable with complex coefficient has at least one complex solution.
Step-by-step explanation:
it is important to learn about complex solution because polynomial equation formed over a complex number can only be solved by a complex number.
this is so because, the fundamental theorem of algebra state that every polynomial equation in one variable with complex coefficient has at least one complex solution.
for example:
Given any positive integer n ≥ 1 and any choice of complex numbers a0,a1,...,an, such that an 6= 0,
the polynomial equation
anzn +···+ a1z + a0 = 0 (1) has at least one solution z ∈C.
No analogous result holds for guaranteeing that a real solution exists to Equation (1) if we restrict the coefficients a0,a1,...,an to be real numbers.
E.g., there does not exist a real number x satisfying an equation as simple as x2 + 1 = 0. Similarly, the consideration of polynomial equations having integer (resp. rational) coefficients quickly forces us to consider solutions that cannot possibly be integers (resp. rational numbers).
Answer:
1/10
Step-by-step explanation:
the no of different probabilities = 6*5 = 30
no of times E can come with an even no = 3
so 3/30=1/10
Answer:
-16 -6 2 3 16
Step-by-step explanation:
Answer:
Step-by-step explanation:
Distance can be calculated using this formula:
where (x₁, y₁) and (x₂, y₂) are the points. We are given the points (6, -9) and (1, 3). Therefore:
Substitute the values into the formula.
Solve inside the parentheses.
Solve the exponents.
- (-5)²= -5*-5 =25
- (12)²= 12 *12= 144
Add and take the square root.
The distance is 13.
From an acceleration-time graph, you can work out the area under the graph to find the velocity. There are two triangles on the graph as shown below. The total area of the triangles are
Hence, the distance is 250×30=7500 ft