Mathematics

Mathematics, 29.06.2019 11:00, mayaleila

What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers

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Mathematics, 25.06.2019 14:30, dondre54

If two polynomial equations have real solutions, then will the equation that is the result of adding, subtracting, or multiplying the two polynomial equations also have real solutions? will the resulting equation have complex solutions if one or both of the original equations have complex solutions? justify your answer using mathematical reasoning; try to relate polynomial operations using integer operations as a comparison. work together as a group to identify any flaws in your reasoning and to provide many examples (or counterexamples) to strengthen your argument.

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Mathematics, 10.07.2019 01:20, Moo12345

(а) 23 — 1 (b) z41 (c) 26 = 1 (d) z81 indicate the solutions of each equation on an argand diagram. 10. (a) let a, b be real numbers. find real numbers x and y for which (xyi)2 = a+bi (b) determine the square roots of -7 24i. 11. solve the equations (a) t23t +3 - i= 0 (b) t2(2i 1t+ (5i+ 1) = 0. 12. show that every quadratic equation with complex coefficients has at least one complex root, and therefore can be written as the product of two linear factors with complex coefficients. iz= 1- iz if and only if z is real 13. prove that |1 14. (a) let p(t) be a polynomial with real coefficients. show that, for any complex number w, p(w) = p(w). deduce that, if w is a zero of p(t), then so is w. (b) give a counterexample to show that (a) is not true in general if p(t) has some nonreal coefficients

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Computers and Technology, 17.07.2019 00:20, kayladianemmp6qhfa

Define a class complex for complex numbers. a complex number is a number of the form: + ∗ where a and b are real and imaginary part of a complex number and i is a number that represents the quantity √−1 . addition of two complex numbers: + )+ + = + + + subtraction of two complex numbers: +− + = −+ − create a class complex that contains:  two private variables real and imaginary of type double.  define accessor and mutator functions of real and imaginary variables.  overload the following operators "+" and "–" so that they apply correctly to the type complex. test your program with inputs (5+4i) and (2+2i).b

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Mathematics, 03.08.2019 22:30, joelpimentel

1. use what you have learned to find the solutions of the polynomial equation shown below. x^4 + 5x^3 ‒ x^2 ‒ 50x ‒ 90 = 0 if x^2 ‒ 10 is one of the factors. be sure to discuss real and complex solutions and how these solutions will affect the graph of the polynomial equation. 2. use what you have learned in this lesson to determine all of the values for k that would give complex solutions to the equation shown below. 3x^2 ‒ 8x + k = 0 describe how you know your values for k give complex solutions to the equation. then, write a quadratic equation using a value of k that will have complex solutions and solve.

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What are the real and complex solutions of the polynomial equation? x^3-8=0. with imaginary numbers...

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