Find a solution x, y E Z to the following diophantine equation: x² +y•x+ 3 · y? = 851. Your answer should be an ordered pair [x, y] in between square brackets consisting of the solution found (e.g. [x1.y1]). 1+v-11 Note that Z[ ] is a Unique Factorization Domain.

Q: 4-a. For the equation: (1–i)x+2i (2+3i)y+i + 3+i 3-i find the real value of x.

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Q: If x = 2 is one of the roots of P(x) = bx? – 12x + 4, find b.

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Q: 2. Homogenous DE x²y = 4x2 + 7xy+ 2y²

A: We solve the given homogeneous differential equation

Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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Q: The roots of the auxiliary equation of (D2+49)²y=o are: O A. distinct imaginary roots O B. distinct…

A: NOTE: Refresh your page if you can't see any equations. . auxiliary equation is

Q: X.) Find the Discriminant describe the nature. X-5X-20 2) x² + 2x-24 = 0 3) x² - 10x + 25 = บ the…

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Q: Given: y = 12-2x (1) 3x-2y = 18 (2) a) Substitute the expression for y in equation (1) into equation…

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Q: Q1. Solve the following first order equations: (a) (r²y² + 1)dx + 2x²dy = 0, use the substitution ry…

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Q: 2-VTO 3+VTO Simplify to its principal root.

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Q: 5x−y=125x−y=12 Step 1 of 2 :   Determine the missing coordinate in the ordered pair (−1,?)(−1,?) so…

A: Given 5x-y=12   To Determine the missing coordinate in the ordered pair (−1,?) so that it will…

Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: Let r₁ and r2 be two different roots of the equation ax² +2bx+c = 0. Without solving the equation,…

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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: Operation 3: Change the second equation by adding to it (-1/2) times the first equation. {x-6y=4…

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Q: 2. What are the solutions to (x – 3)² = -27.

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Q: a. Solve v-25 × /-9. (1+ i)? b. Given that = x + yi , find the value of x + y. 2-i

A: Givne that  The following questions  To simplify the expression

Q: Solve for the value of z: 25x +2 – 1 = 3 o {4} {{} o {0} o {6}

A: Given,  2 5x+25-1=3

Q: 8. Solve the equation 7x2 + 6 = 13 using square roots. a. no real solutions b. 1 с. +7 d. ±1 9.…

A: To solve the given equations

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: 2. Solve for x: (6x+26)° (16x) 5. Find m21. (12r +14)° (15x-13)°

A: This question related to angles when two parallel lines cut by transversal.

Q: (15x - 8) 226

A: Given,

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.