For the number field K = Q(V7): (a) Find the minimal polynomial of V7 over Q. (b) Find all three embeddings o : K + C which fix Q pointwise. (c) Compute the discriminant A[1, 7, V7³]. (d) Compute the norm and trace of 1+27 – 5/49. -

Q: b. Solve: 1 +Vx + 4 =V3x +1

A: We will solve the equation as following.

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A:

Q: SoNe for x. Gfx -15)-75

A:

Q: solve for v 5(v-8)=3v-38

A: The given equation is

Q: (1 + ?)(1 – i). Show complete solution.

A: This is a problem of complex analysis.

Q: solve for v -2v+18=2(v-7)

A:

Q: x+1 x+2 3D5 3 7

A:

Q: (d) Solve you х

A: d) From Part (a), it is known that the least square equation for the pairs (x,y) is: The value for…

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A: To solve the given equation: 3x+y-zp+x+y-zq=2z+y

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A:

Q: Solve: х? — 7х — -12 O x = -3, 4 O x = – ¤ = — 4, 3 х —D — 4, — 3 %3D Ox = 3, 4

A: The given quadratic equation is: x2-7x=-12

Q: 14. 15. 6y 4po 17.

A:

Q: solvei!1)= -2 4 2.

A: A linear equation in a variable x is an equation containing the variable only with its first power.…

Q: 3 solve Z²-1 where 2=2+²y; NiSER +

A:

Q: Solve for x

A: Square both sides.  On right side use (a-b)^2= a^2 - 2ab + b^2

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A:

Q: Graphing Linear Equations-Points For each of the following equations, complete the table. Use the…

A: We are asked to complete the given table and graph the solution.

Q: 4х +1 Зx + 2х 1 3х +2 | 8 a.

A:

Q: Find the solution of the following differential equations: (Separable Equations). Vydx +(1 +x)dy =…

A: Using method of separable equation Simply put, a differential equation is said to be separable if…

Q: VZ A2 + B2 =0 A2 + VZB2 + C2=0 B2 + VZ Cz = 0

A: We have to solve the given system of equation.

Q: d) Solve (0.8x?y³z– 0.6xy²z² +0.4y²) + (0.2y²)

A:

Q: Solve them

A: (a)

Q: S (3x + 7)2022 dæ

A:

Q: Solve RESISERE d³x dt3 +79²x dt² PERS + 6x = 0

A:

Q: A²

A: