The roots of the equation z²- (8-5i) z + 40-20i = 0

Q: 1-Z = ? What is lim %3D i-1 2i i+1 2 i-1 1-i 2.

A: Option (c) is Correct

Q: Find all the complex numbers z that are solutions of the following equations: (A) e² = 2+2i;

A: We know that logZ=ln|Z|+iargZ.

Q: Solve the complex equation (2+j)(3-j2)=a+jb

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Q: Solve the equation 5x2 + 9x + 17 = 0 using the quadratic formula. Input your solutions below in any…

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Q: 1. Find the quadratic equation whose roots are a + and B + where a and B are roots of the quadratic…

A: Consider the given quadratic equation having roots α and β is  2x2+7x-3=0 Here, the objective is to…

Q: (b) The roots of the quadratic equation 3x-11x+9=0 are a and B. Form a quadratic equation whose…

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Q: X Find all complex solutions to |z + 2| = |2 - 2i and sketch the solution set.

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Q: (V3+i) (-2+ J3i) Solve by using De Moivre's theorem and write the result in form of (-1+5i) x+ yi…

A: complex number

Q: (b) The quadratic equation x² + px + q = 0 in which the coefficients p and q are real, has a complex…

A: Sol

Q: What are the roots of the equation? 0 = x + x³ + 4x² + 6x - 12 Select all correct answers. 0-6 0-2 0…

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Q: 4. (a) (i) Calculate (4 + 10i)². Answer: (ii) Hence, and without using a calculator, determine all…

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Q: The complex solutions of the algebraic equation z' = -8i .3 are 1759 07357 0

A: The given complex equation is z3=-8i

Q: the roots of the equation 4 a-4 ax-(x- 2) = 0 are real. %3D

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Q: 11. Show that 1 + 4i is a root of the equation 2z3 - 3z2 + 32z + 17 = 0. Hence, find all the roots…

A: Answer

Q: Find the solutions

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Q: Write a quadratic equation with real coefficients and complex solutions 7+i  and 7−i Use exact…

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Q: Q3 Find all the complex roots of the equations: (a) z6 = -9;

A: Answer

Q: The complex equation 2z-5z2 + cz-5 0 cER. has a solution z=1-2i Find the other two solutions & value…

A: The solution to the function can be obtained by solving the equation. If the solution for the…

Q: Find all solutions of the equation x^2+10x+34=0 and express them in the form a+bi

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Q: 7x -9x-5=x'-1 21. Subsitute a, b, and c into the quadratic formula. 22. Solve for x. x' -x-6= 3x…

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Q: Question 3 - of 13 Step 1 of 2 No T Consider the following quadratic equation: 9x2 + 11x +4 = 2 Step…

A: Given the quadratic equation we have to put in linear form

Q: Answers in polar form

A: x5 - 4√3 + 4i = 0 Hence, x5 = 4√3 - 4i In the polar form, x = reiθ Hence, x5 = r5ei5θ = r5(cos5θ +…

Q: Español Find all complex solutions of 6x? + 5x+4=0. (If there is more than one solution, separate…

A: We can find the complex roots as below.

Q: Question 7 of 8 Solve x=8, where x is a real number. Simplify your answer as much as possible. %3D…

A: Given: (7) x2 = 8 (8) 3x2 + 5x = 3

Q: D. Find all complex solutions to the given equation  x2+i =0

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Q: Consider a quadratic equation x ^ 2 - 13x + 36 = 0 with coefficients in a base b. The solutions of…

A: Introduction :

Q: Find the cube root of -8i lying in the fourth quadrant of complex plan. إختر أحد الخيارات: 1- 13i .a…

A: To find The cube root of -8i lying in the fourth quadrant of the complex plane

Q: 13. (a) Solve 2.xr - 3x – 2 = 0. (b) Hence, form a quadratic equation in x whose roots are negatives…

A: Given: 2x2-3x-2=0 for solving this, we will use factorization method

Q: Find the solutions of the equation.x3 + 8i = 0

A: Given  x3+ 8i = 0

Q: Q2 - A// Solve the following equation for the real numbers x and y: (3- 2i)(x+yi)=2 (x - 2y i)+ 2i -…

A: Please consider the handwritten solution.

Q: 4. Solve the equation z3 + 8i = 0

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Q: Find the solutions of the equation.x3 - 64i = 0

A: The given equation is x3-64i=0. Solve the above equation as follows.

Q: The equation (x + 1)2 - 14(x + 1) + 48 = 0 is of ---Select- O type. To solve the equation, we set W…

A: Given that  (x+1)^2-14(x+1)+48=0 To find the type of equation

Q: An equation of the form ax + b = 0 is called a(n) _______  equation or a(n) _____-degree equation.

A: We know, An equation that can be written in the ax+b=0 where and bare real numbers and a≠0 is called…

Q: Find all the complex roots of the equations: (a) z =-9; (b) +2z+(1-i) 0.

A: For (a),     z6=-9⇒z6=9cosπ+i sinπ⇒z =9cosπ+i sinπ1/6⇒z =91/6cosπ+i sinπ1/6Now, by de moivre's…

Q: -iz dz= e -i

A: image is attached

Q: 2. Solve the following radical equations: a. V4x + 1 = 3 b. V2x – 5 = 2 -

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Q: 32. Find the discriminant of the equation and give the number and type of solutions of the equation.…

A: Discriminant of a quadratic equation ax2 + bx +c =0 is…

Q: Find all roots of the equation z2 -(3+i)z+(2+i)=0

A: Given equation is z2-3+iz+2+i=0 To find all roots of the equation. Solution: Solving the given…

Q: . Find all complex solutions to the given equation (1) x3+8i =0

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Q: 4. The equation x° + 7x - 8 = 0 is of type. To solve the equation, we set W = The resulting…

A: Given equation is x6+7x3-8=0. The given equation is reducible type. It can be reduced to quadratic…

Q: Q/ If a+2i is one of the roots of the equation X^2-bx+13=0 find the values of a and b

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Q: Find the exact solutions to the equations in the complex numbers w2-4w+5=0

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Q: solves the quadratic equation az + bz + c = 0 (a ± 0) when the coefficients a, b, and c are complex…

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Q: 1+z -= 8i - 5 1- z (1) Solve for z,

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Q: 2 (2v3-2i)3 Q1- Find the complex roots of (Demoivere's formula) (2V3-21)3

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Q: Write a quadratic equation with real coefficients and complex solutions −3−2i  and −3+2i

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Q: Let n = Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of…

A: What is Quadratic Equation: When a quadratic polynomial assumes the value zero, that equation is…