c ±/3,+/zi D ±/2i,±/3i C Which is a list of all the roots of x-x = 4-4x A -1, 2,-2 B 1, 2,-2 C %3D A -1, 2i,-2i D 1, 2i, -2i C Which of the following lists all the roots of +3r 9+3x²?

Q: Given that k# 1 and the roots of the equation =k are a. B and 7. use the substitution z = (x-2) to…

A: Roots

Q: z3 + 1 = 0 Which of the following shows the roots of z? 0 12등, 1/m, 1/ 57 3 O 120, 12, 12 O -1,1 O…

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Q: Which of these equations has two real roots: Select one: O a. x2-4x + 4 =0 O b. x2 - 10x + 100 = 0 O…

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Q: For what values of k will the equation 2x2 – 3x + kx = - have no real roots? 1. k 5 2. 1 5 1. 1<k <…

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Q: 1+i is multiplied by -1, and b). z is multiplied by i, to the complex Given with Z = examine the…

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Q: 1. (a) Find the four fourth roots of z =1+i. (b) Find the cube roots of z = i. 2. Find the…

A: NOTE: Due to multiple question answer for 1 and 2 is given here, for 3 and 4 ask in a new question.

Q: 1-x 2 3 If 0 x 0 = 0, then its roots are: (a) 1 only (b) 0,1 (c) 0 only (d) -1,0,1 Select the…

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Q: a. Show that If 1 iv3 z = 2 2 Then z7 = z. b. Evaluate all the roots of the Equation: z* + 16 = 0

A: We will solve both the parts only using some basic knowledge of complex numbers and their…

Q: J Find three cube roots of z= 4+43i. Leave your answer in the trig form. First find the trig form of…

A: The given complex number z=4+43i

Q: w +1 (a) If z = -5 – 3i and w = -3 + 2i, find Show all work. Final answer in algebraic z + 3+ i…

A: (a) Answer is -i i.e  0+(-1)i .

Q: Find the square root of z =-15-8i. (A) -1+4i, 1+4i O (B) -1+ 4i, 1– 4i O (C)-1-8i, 1+ 8i O (D) -1+…

A: Given: z = -15 -8i To find: Square root of given complex number z

Q: B. Give the general solution to the HLDE with the given set of auxiliary roots 3. m = -3, -2±i, l±2i

A:

Q: 7. Determine the roots of y4 + y"" −y" -y+1=0 a. 1,-1,1 b. 1-1,-1 c. 1,-1,2 d. 1,-1, -2

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Q: Find all values of A for which det(A) = 0, using the method of this section. 2 – 10 25 A = -1 0 1- 6…

A: Explanation of the answer is as follows

Q: use

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Q: 18. i) Given that Z = v3 + i and Z2 = 1 - iv3, find, in the form p + iq where p and a) Z2 q are…

A: In the given question give that two complex numbers say z1 and z2s.t z1 =3+i and z2=1-i3we have to…

Q: Determine all the roots of a. R(y)=12y²+11y-5 B. g(x)=x³+7x²-x

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Q: / Which of the following formulas can you use to get the root of the equation? Then find the root of…

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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: Directions: Transform the following equations into standard form.     4. x^2 + 9x = 10

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Q: Let a, B and y be the roots of the equation 523 + 22 + 3z + 4 = 0. Find the values of the following:…

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Q: What are the roots of x*- 25 ? A x=/5,x=i/5 only B x = + 5, x = ± 5i c x= x= + /5 only x = + /5, x =…

A:

Q: The number of values of k for which the equation x^2−3x+k=0 has two distinct roots lying in the…

A: x2-3x+k=0D=b2-4aca=1, b=-3, c=kD=-32-4×1×kD=9-4k= 9-4k≥0 D≥0  distinct real roots-4k≥-9k≤94

Q: Find all roots x^3-4x^2+x+26=0 A. x=-2 & the two other roots are imaginary B. x=-1 & the two…

A: Explanation of the answer is as follows

Q: State the possible number of real and imaginary roots for each equation. Then find all roots. 9) x -…

A: Topic = Equations

Q: Detevmine tre value of B On the eguation + 48x-B Et 2. +2=0 Ut one Of the roots S zero A)-2 B8 -8 D2

A: Given that one root is 0, that means x=0 satisfies the equation

Q: Find all values of A for which det(A) = 0, using the method of this section. 2 - 8 16 A = - 1 1 0 1…

A:

Q: If a, B,y are the roots of x+4x+1 = 0 then the equationm whose roots are B+y'y+a'a +3

A: The given equation is x3+4x+1=0. The given roots are α, β, γ. Observe the following.…

Q: (i) Find the roots of the following (a) (-16)"ª (b) (2i)"² 1/2

A: Given,

Q: Solve for the solution of the DE: y(4) – 8y"' + 24y" + 32y' + 16y = 0

A: The given differential equation is y(4)-8y'''+24y''+32y'+16y=0

Q: prove Ihat The súm of roots of The equatin 2x²+3X+5 = 0 is -3½ f The multiple is 52. O Find The…

A:

Q: ² +8x -3 = 0 (a) calculate its discriminant (b) state the number and nature of its roots based on…

A: Given, A quadratic equation  x2+8x-3 =0  We have to solve for (a) and (b)

Q: State the possible number of real and imaginary roots for each equation. Then find all roots. 9) x -…

A:

Q: 5. Determine the roots of y"" - 3y" - y' + 3y = 0 a. 1, 1, 3 b. 1-1, -3 c. 1, 1, -3 d. 1,-1, 3

A:

Q: Find the roots of æ = 8. Answer: a. 2, 1+ j1.732 and 1- j1.732 b.6, 1 + j6 and 1- j6 c. 2, -1+…

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Q: (e) [ The Method of Iteration ] Perform seven iterations to find a real root of the equations y² –…

A: Given the function fx=y2-5y+4=0 and 3yx2-10x+7=0 and initial guesses =1,2 Now, f1=y2-5y+4=0........i…

Q: Find three cube roots of z = 4+4/3i. Leave your answer in the trig form. First find the trig form of…

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Q: -6+ V6 – 4ac 18. Find the real roots for y = 4x - 8x – 12. Use the quadratic formula = Select TWO…

A: To find the roots of the given quadratic equation.

Q: 1. Determine the four roots of z = -2 + 2i.

A: Given;  z = -2+2i. Repost the 2nd question.

Q: What are the roots of x*-25? x= + 5, x = ± 5i %3D B x= + /5 only C. x = ± /5, x= ±i/5 %3D D…

A: using identities

Q: f(z) = 422 - 2z - 2. a) What are the roots of f(z), that is, the solutions to f(x) = 0? FORMATTING:…

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Q: Match the cards. y= (? + 1)(x² – 1)(x² + 2) As x - 00, y → -00 As x - -00, y - 00 у3 (3х - 1)2 Has a…

A: The solution for the above question is as shown below.

Q: Let r, r; and r, be the roots of x' + 3x + 2 = 0, construct the equation whose roots are: :Select…

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Q: find the roots

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Q: 5. Find the roots/s using Secant Method a) x*-x - 10 = 0 b) x- sin(x) –= 0 Ans. x = -1.697 and 1.855…

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Q: Find the three cube roots of  z= -2 + i

A: Given The given complex number is z=-2+i. Use De Moivre's theorem for nth root of complex number…

Q: 9. If b2 > 4ac then there are two real roots of ar? + bx + c = 0 that are given by (-b± v& –…

A:

Q: f(x) = x -x+8ax (a) Prove that f(x) = (x-y:x + a)(x"-y2X +a) where y, and y2 are the roots of the…

A: Roots of the equation ax2+bx+c=0 are -b±b2-4ac2a for real and distinct roots b2-4ac &gt; 0

Q: 2. 2x - 7x2 - 16 = 0 a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of…

A: Since you have asked a question with multiple sub parts we will solve the first three sub parts for…

Q: 2 Which of the following formulas can you use to get the root of the equation? Then find the root of…

A: