Ex (2) 1. Z²+Z+1 =0 : Find the roots of the followings:

Q: Find all the roots of the following equations. (a) z2 – 6z + 13 = 0. | (b) 2° – z = 0.

A: We will use basic knowledge of complex variables and mathematical logic to answer both parts of this…

Q: Solve the quadratic for x. x2 – 3x – 10 = 0

A: Quadratic equation

Q: Q2. a) Calculate the 4th roots of (5-j3)

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Q: 11) ſ t³(12 – 7t*) dt – 19Csc*3h Cot3h dh dy 8. | -

A: To evaluate the following integral

Q: 3. Find the roots of ( x2-1) ( x2 + 3x – 2)=0

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Q: Use Method of False Position to obtain the root of 8D 1000 1 D f(D) exp 50 %3D 100

A: Consider the given function.fD=100D1-exp-8D100-50The false position method is defined…

Q: -3X1 + 9X2 + X3 = 6

A: Given,        -3X1+9X2+X3=6       5X1-4X2+15X3=9            4X1-X2+2X3=15

Q: D 20. Marco wants to show that x³-y - (x-y)x² +xy +y is true for all values of x and y. Marco makes…

A: The given identity is  x3-y3= (x-y)(x2+xy+y2)

Q: Ex) Algebraically find the roots of the quadratic: rC) =}cx - 29° - 6

A: Given equation is; f(x)=12(x-2)2-6 Put f(x)=0x2+4-4x2-6=0x2-4x+4=12x2-4x-8=0

Q: If r; and r, are the roots of equation x² – 2x+4 =0, then find Er .

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Q: Find the roots of following quadratic equation a + = 0 3 O # = -1± v13 + V13 6 O # = 1 + V13 O 2 =…

A: To determine: Roots of the given equation. Concept: Roots of a quadratic equation in the form…

Q: 3. Solve the following quadratic. (x – 2) – 6 = 10

A: Solve the following quadrayic equation  (x-2)2-6=10

Q: x² - 4x +1 = 0 Select all roots of the above equation. O 3-/2 O 2 + V3 O 2-V3 O 3+V2

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Q: Solve the following radical equation. V3x – 3 – Vx = 1 ||

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Q: 3. x+3x+ 2x = 0 a. Good guesses: b. # of positive roots: 0 C. # of negative roots: O d. # of…

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Q: give the form for xp if the method of undetermined coefficients were to be used. You need not…

A: We have to give the form of particular solution using method of undetermined coefficient without…

Q: Express all answers in Rectangular Form. 1. (1 + j3)z² + (5 + j6)z + 7 – j6 = 0 2. 3z? – (5 – j4) z…

A: Since you post more than three subparts questions as per our guideline we can solve only first three…

Q: • X1 – 5X2 + X3 = 9 • 2X1 – 3X2 + 2X3 – 12X4 = 5 X1 + 2X + 10Х3 + 3X4 15 %D |

A: Solving the system of linear equation by Gauss-Seidal method with initial guess (0,0,0,0)

Q: If a is a non-real complex nth root of unity, find the values of:

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Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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Q: 4. Use the quadratic formula to find the zeros of each function. a. f(x) = 3x² + 5x – 2 %3D b. f(x)…

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

A: Given,

Q: a. Show that if Then z = z. b. Evaluate all the roots of the Equation: z* + 16 = 0

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Q: J (4) (10y + 60) o (2x) find x (3x-20) find y

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Q: Q: Using De Movier's Theorem find all roots of of (−√3 + i)¹/²

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