2. Use the Chakravala and then Brahmagupta's identity to find two solutions, other than (1,0), to Pell's equation 2² – 37y? = 1.

Q: Solve by using the quadratic formula: 18x = 21x+4 3 OA. and - 4. 6. 4. O B. and 3. 4 OC. 3 O C. --…

A: Ans:

Q: I. Solve using De Moivre's Theorem. Find all the solutions to the equation x* = -8 + 8/3i

A: According to the given information, it is required to find all the solutions to the equation using…

Q: PUT THE FOLLOWING EQUATIONS IN EINSTEIN'S NOTATION (CONVERT FROM DEL: g²h 2 a. 0² h = =² 2²h 22h +…

A: The main objective is to write the given PDE in Einstein’s notation.

Q: Q.#16 Please solve each of the following trig equations on the interval [0, 27). a) sin 28 = sin 8…

A:

Q: (a) Use the formula zk = Vr(co e+ 27tk cos +i sin 0+277K to find the indicated roots of the complex…

A: Given Z=-322(-1+i) Zk=rncosθ+2πkn+sinθ+2πkn, 0≤θ<2π The trigonometric form of the complex number…

Q: If a = cos (2ñ/7) + i sin (27/7), then find the quadratic equation whose roots are a = a + a² + a²…

A: If  a=cos 2π7+isin2π7, then we have to find the quadratic equation whose roots are   α=a+a2+a4  and…

Q: d) In() %3D (2n +3) пi, n € Z

A: ln(i)=2n+12πi, n∈ℤ      i=0+1i=1·eiπ2       =1·eiπ2+2πn       for n∈ℤ Since,          |i|=1 and…

Q: The given equation 4y – 2y2 +y – 3 = 0, how many - - complex roots are there? 3 O 2 01

A:

Q: 4. Find: (2+3i) 1-C 1 ti -i

A:

Q: I. Solve using De Moivre's Theorem. Find all fourth roots of xt = -256

A: According to the given information, it is required to find all the solutions to the equation using…

Q: The roots of a d.e are -1, 2+√3 What is the solution? y = ex(c₁ cos 3x + c₂ sin 3x) + c3 cOS X + C4…

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Q: 1. (a) Find the roots of the equation 23 + 2 – 2/3i = 0.

A: Here we have to find the roots of z3+2-23i=0. For that consider z3+2-23i=0⇒z3=-2+23i. Finding the…

Q: Find the four roots of ( 3 + 14 )

A: To find the four roots of the complex number.

Q: 4. Find all the fifth roots of z = 2e¹7.

A:

Q: 1. Let n e N. Find all complex solutions to the equation: z" = i.

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Q: Find the real solutions of the given equationt 3x³+8x = 2 – 3x

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Q: In each of the equation below, find all solutions [0, 2π) a. 2sin2x=1 b. √3 cscxm - 2=0 c.…

A: Given: -

Q: Solve the following  complex numbers in their rectangular form.  Where in Z1=2+4i, Z2 = 5e2i and Z3…

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Q: Give the solutions of the complex equation –3z°(1 + i) = z(1 – i) in trigonometric for

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Q: (a) (2 cos 8 – 3 sin 30) de dr CS Scannec with CamScanner

A:

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: Calculate the value of (1+ 2i)? and then use this value to find the roots of z2 – z + (1 – i) = 0.

A:

Q: ) Find all the roots of the equation sin 2x=x²-1 using Newton-kaphson method.

A: Draw a rough sketch of the given equation to determine the initial guess.From the above graph, we…

Q: find all complex Values ofsatis fying the 2+1 given equation ē=(-1+i) ¿ .

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Q: 7. Find the all degree solutions of the equation sin? x =- 1 X%3=

A: