Question: 2. The cubic equation ~ + 2 + 45 -48_0 has one real root a and two complex roots f and y. (D) Verify that

2. The cubic equation ~ + 2 + 45 -48_0 has one real root a and two complex roots f and y. (D) Verify that a = ] and find / and y in the form a + bi Take / to be the root with positive imaginary part, and give your answers in an exact form. [S] (ii) Find the modulus and argument of each of the numbers a, , y, giving the arguments in radians between -_ and . Illustrate the three numbers on an Argand diagram. [S] (iii)On your Argand diagram, draw the locus of points representing complex numbers~ such that arg (= - @) - arg 6 . [2]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Write a program that generates random numbers representing the three coefficients a , b , and c of the quadratic equation. The values of a should include numbers 1 through 10, the values of b and c...

got stuck on a fortran problem. Need help with questions 4-9 need to know what extra needs to be added for the LHS to check itself Objectives Learn about conditional statements Experiment with...

JAVA. quadratic equation is ax 2 + bx + c = 0. Write a program that solves a quadratic equation in all cases, including when both roots are complex numbers. Remember that the solutions are x = (-b +...

For like and comment!! show me solution sample plz too JAVA it should have three files.The form of a quadratic equation is ax 2 + bx + c = 0. Write a program that solves a quadratic equation in all...

This program should be written in Java. Programs Quadratic equations. (60 points) The form of a quadratic equation is ax? + bx+c=0. Write a program that solves a quadratic equation in all cases,...

URGENT in java please and use simple code so i can understand thanks The form of a quadratic equation is ax 2 + bx + c = 0. Write a program that solves a quadratic equation in all cases, including...

CPE 2073 Homework 6 Objective Practice if...else statements. Background In homework assignments we evaluated quadratic equations, that is, we calculated y = ax? + bx + c. for given values of x, a, b,...

Part 1: Solving for Roots using the Quadratic Equation ar + bx+c=0 (-bu-dac 2a Write a function that assigns the coefficients of a second order equation as input arguments, solves for the roots x,...

1. Fill in each blank so that the resulting statement is true. To convert a complex number from rectangular form, z = a + bi, to polar form, z=r( cos 0 + i sin ()), we use the relationships r= and...

Overview For this assignment, design and use a class that can be used to represent a parabola. The Parabola class Data Members The class contains three data members: a double that holds the value of...

VanBrush Enterprises, a painting contractor, prepared the following adjusting entries at year-end: Required: 1. Show the effect of these adjustments on (1) Assets, liabilities, and equity (2)...

The following is an alphabetical list of accounts for the Mack Company: Accounts payable Accounts receivable Accumulated depreciation, Buildings and office equipment Accumulated depreciation, Store...

Which of the following refers to stocks that pur, out a large portion of earnings in dividends? Private stock. Crowth stock Batance sfocks. Throme slack.

If the probability of getting an A on your statistics test is .77, what is the probability of NOT getting an A