Which correctly describes the roots of the following cubic equation? 2 - 3x + 4x - 12 = 0 | O three real roots, each with a different value one real root and two complex roots three real roots, two of which are equal in value O two real roots and one complex root

Q: 1. Solve the following complex roots and plot the solutions if

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: these equations have distinct, real, characteristic roots. Find the general solution in each case…

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Q: 4. (choose one.) (a) Find all 3rd roots of –8i. (b) Find all complex roots of the equation 26 = –9

A: 4) a) Given:          cube roots of -8i we write in trigonometric form:          =8cos-π2+isin-π2 we…

Q: Solve the following equation using the quadratic formula. 2x2 = = -9x + 12 The solution set is (Type…

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Q: Solve the following using the quadratic formula. Complex roots are allowable here and you (3) should…

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Q: 1. Which of the following is a complex solution to the equation: (x+3)* -4 =-40? (1) 3+7i (3) -3 +6i…

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Q: Use the meaning of cube roots to find an exact solution to the equation v*+ 2 =' --2 without using a…

A: The given equation is . The solution can be found by cubing both sides.

Q: If r1 = a + iβ and r2 = a - iβ are two complex roots to theauxiliary equation ar2 + br + c = 0 ,…

A: If r1 = a + iβ and r2 = a - iβ are two complex roots to the auxiliary equation ar2 + br + c = 0.…

Q: Solve the following equation using the quadratic formula. - 6x2 = - x+7 The solution set is ().…

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

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Q: 7. Find the four roots of the equation z* +81 0. Write the roots in the form a + bi. 4

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Q: 12. Consider the quadratic equation az?+bz+c= 0, where a, b and c are real and b2 – 4ac < 0. Suppose…

A: Formula: Quadratic Formula For a quadratic equation ax2+bx+c=0 with a≠0, the roots are given by…

Q: 9. Find the four complex fourth roots of unity and plot them. 10. Find the six complex sixth roots…

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Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

A: Consider the equation : z3+8i=0. Find the solutions of the given equation. z3+8i=0z3-8i3=0…

Q: 9. Find the indicated roots. Sketch the roots in the complex plane: a) The fifth roots of 32 b) The…

A: According to Bartleby guidelines I can only answer the first question of the given problems

Q: a) Find the indicated roots and graph them in the complex plane. The fourth roots of  −256i   b)…

A: we have to find the fourth roots of -256i and we have to graph them in the complex plane. that…

Q: Identify the roots of the DE from its auxiliary equation: у" - - бу %3D 0 бу" + 11у' — Select one:…

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Q: Find the indicated roots and graph them in the complex plane. The square roots of 4/3 + 4i Im Im Wo…

A: Consider the given information. z=43+4i The general for of the complex number is z=x+iy. Now, find…

Q: List the solutions of the equation: 0 = 3x2 – 16x 8 • Your answers must be in exact form, do not…

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Q: The solution is x= 5x2 + 15 = 0 (Type exact answers, using radicals as needed. Express complex…

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Q: In Problem,find all the complex roots.Leave your answers in polar form with the argument in degrees.…

A: Given: 4-43i

Q: number. 12. (–1–i)!/3. 10. 4. 11. (–1)'/4.

A: Since we are given with multiple number of question and our guideline is solve first question only…

Q: Find all the complex cube roots of 1. Write the roots in rectangular form. (Type your answer in the…

A: Given query is to find complex cube roots of 1.

Q: The complex fifth roots of -1 + i.Find all the complex roots. Write roots in rectangular form. If…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: 10. Which of the following quadratic equations has the complex number 2-i as a solution? 22 +2 0 B 2…

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Q: Question 4 Solve the following complex roots and plot the solutions if (z – 5+i)° = -729. Question 5…

A: Q4)  z-5+i6=-729                      =-36                      =36-1…

Q: Use De Moivre's Formula to compute the four complex 4th roots of 5 + 5i List your answers in the…

A: z=5+5i Now, r=52+52=52 &amp; θ=tan-1yx=tan-155=tan-11=π4 Now polar form is,…

Q: The fifth roots of -16 -1613i

A: Note:- Here, you mention -16-163i but "i" should be outside of square root. So, i am taking this…

Q: 2. How many roots does the given equation have: X^4 - 6x^3 + 18x^2 - 30x + 25 = 0 Two real and…

A: As per our guideline we solve only one question you can repost other questions in next question

Q: Sixth roots of 64/ 0 + 2xk (a) Use the formula z = Vi(cos + 2xk to find the indicated roots of the…

A: Given complex number is,z=64i To find the 6th root of z. n the root of a complex number is,…

Q: Using De Moivre's Theorem, choose the option that best completes answers the question:  x 4 + 16 = 0…

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Q: Let z be a complex number, find therange of real values of a for which the equation. z+alz-1+2i=0has…

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Q: Given the quadratic equation z? +4 = 162 Which of the following shows the equation in standard form,…

A: Let's find.

Q: 4. Classify the solutions to the following equation using only the discriminant. Select one of the…

A: We have to classify the solution

Q: Solve the equation using the quadratic formula. x + 8x-6=0 X= (Type an exact answer, using radicals…

A: Solution of the quadratic equation ax2+bx+c=0 is  given by quadratic  formula x=-b±b2-4ac2a

Q: Find the two square roots of the following complex number. Write your answers in standard form.…

A: To find square root of the given complex number, initially we have to convert the given complex…

Q: Use the value of the discriminant to determine the number and type roots of 2 +20 = 12z – 16-…

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Q: Find the two square roots of the following complex number. Write your answers in standard form.…

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Q: List the solutions of the equation: 0 = 4.x 12x + 18 Your answers must be in exact form, do not give…

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Q: Determine all the roots of z8 – 2z4 + 1 = 0

A: We determine all roots of  z8-2z4+1=0.......(1)

Q: 6. Express the roots of the equation x + 1 = 8(x- 3) in a+ bi form.

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Q: How many roots does 11z2 + 2z – 13  = 0 have? a. One real and one complex               b.…

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Q: -b+ v62 – 4ac Use the quadratic formula: x = to find the roots of the auxiliary equation: 2а Зт? —…

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Q: Find all complex-number solutions. Write solutions in terms of i 7(t – 12)? – 13 = 265 t = Entry…

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Q: 7. Which of the following most precisely describes the roots of the equation 3x2 + 4x -1 = 0? A 1…

A: Using quadratic formula

Q: Find all complex-number solutions. Write solutions in terms of i t2 = 4 t = Preview Entry Tip: Do…

A: topic - complex numbers

Q: Solve the given equation over the complex numbers by completing the square. Use exact values. 2m² -…

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Q: Which terms apply to the real solutions of a Quadratic equation? Choose all that apply. A)…

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Q: Find all the complex cube roots of - 1. Write the roots in rectangular form. Zo = (Type your answer…

A: The formula for a3+b3=(a+b)(a2-ab+b2). The formula to solve quadratic equation ax2+bx+c is…

Q: Find the three cube roots of -i.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…