Find the quadratic equation with real coefficients that has the complex number z = 8-7i as...

Question

Question

Find the quadratic equation with real coefficients that has the complex number z = 8-7i as one root.

math trigonometry

Answer 1

Answer #1

Since Therefore of the quadratic equation. eavertion Since eavartion. Z=8-7i is a root of a quadratic eauertran z-(8-7)=z-(8-

Answer 2

Similar Homework Help Questions

1(a) Find the square roots of the complex number z -3 + j4, expressing your answer in the form a + jb. Hence find the roots for the quadratic equation: x2-x(1- 0 giving your answer in the form p+ q w...

1(a) Find the square roots of the complex number z -3 + j4, expressing your answer in the form a + jb. Hence find the roots for the quadratic equation: x2-x(1- 0 giving your answer in the form p+ q where p is a real number and q is a complex number. I7 marks] (b) Express: 3 + in the form ω-reje (r> 0, 0 which o is real and positive. θ < 2π). Hence find the smallest value of...
1. Write a quadratic equation that has integer coefficients and has as solutions the given pair...

1. Write a quadratic equation that has integer coefficients and has as solutions the given pair of numbers. (Use x as the variable.) and 5 _____?______ 2. Evaluate for the given values of a, b, and c. Write the result as a complex number. a = ?4, b = 2, c = ?5 _____?_______ 2
NAME: Q1. (30pts) Solve the quadratic equation 22- (8+ i)z + 17+ i = 0 by...

NAME: Q1. (30pts) Solve the quadratic equation 22- (8+ i)z + 17+ i = 0 by realizing the following plan: (i) find the discriminant A of the equation: (i) write a program for a scientific calculator to obtain the polar form r(cos+ i sin ) of A and the 'first' root ( cos isin 2 of degree two of A; (ii) execute the program, fix the results, find another root A of A of degree two (before executing the program,...

java code Design a class named QuadraticEquation for a quadratic equation with real coefficients ax? +...

java code Design a class named QuadraticEquation for a quadratic equation with real coefficients ax? + bx + x = 0 where a = 0. The class contains: (a) Private data fields a, b, and c that represent three coefficients. (b) A constructor taking arguments for a, b, and c. (c) Getter and setter methods for each attribute field. (d) A method named getDiscriminant() that returns the discriminant, 62 - 4ac. (e) A method named hasReal Solution that determines If...
This is in python language Algebra: solve quadratic equations) The two roots of a quadratic equation,...

This is in python language Algebra: solve quadratic equations) The two roots of a quadratic equation, for example, 0, can be obtained using the following fomula: b 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots. Write a program that prompts the user to enter values for a, b, and cand...
Find the real part of the complex number a + bi obtained as the square root...

Find the real part of the complex number a + bi obtained as the square root of -2.4 +4.1i, where 0° <e < 180º.

Find all solutions (real or complex) to the following: (a) z² + 2+2 = 0 (Suggestion:...

Find all solutions (real or complex) to the following: (a) z² + 2+2 = 0 (Suggestion: quadratic formula) (b) z4 – 16 = 0 (Suggestion: factor -- difference of squares)
Write a C program, to solve the quadratic equation a x2 + b x + c...

Write a C program, to solve the quadratic equation a x2 + b x + c = 0 of given coefficients a, b and c. When running the program, it prompts for the input of coefficients a,b,c as floating numbers. After inputting three floating numbers, it computes and prints out the solutions, then prompts for another round of input. Your program will quit when getting input 0,0,0. Your program should handle four situations: (1) a=0, not a quadratic equation; (2)...
(Algebra: solve quadratic equations) The two roots of a quadratic equation, for example, , can be...

(Algebra: solve quadratic equations) The two roots of a quadratic equation, for example, , can be obtained using the following formula: r1 = (-b + sqrt(b^2 - 4ac) / (2a) and r1 = (-b - sqrt(b^2 - 4ac) / (2a) b^2 - 4ac is called the discriminant of the quadratic equation. If it is positive, the equation has two real roots. If it is zero, the equation has one root. If it is negative, the equation has no real roots....

I. (a) Find the general complex solution for the following homogeneous equation: y"-y" + 81/ +...

I. (a) Find the general complex solution for the following homogeneous equation: y"-y" + 81/ + 10y = 0. (One root of the characteristic polynomial is λ| =-1.) Your solution must have three (complex) integration constants. (b) Because the coefficients of the equation are real, it makes sense to ask what is the most general real solution. Obtain it by separating the real part of the solution you found in (a). Your result must have three real integration constants 2....