Find the basic solutions of the following homogeneous solutions. +3x2 - 2x3 X3 2x1 +6x2 +2x3 X1 -6x4 +4x4 +124 = 0 = 0 = 0

Q: Use Descartes's rule of signs to find the number of positive and the number of negative solutions of…

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Q: Find the discriminant and the number of solutions of the quadratic equation 2n2 +&x+2=0 •…

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Q: 1. Solve the following sir y = 2x - 3 =) { / 4x - 3y = 7

A: Here we have to solve the equations.

Q: A. Solve the following equations by completing the square. 1. x+ 10x - 25 = o 2. x - 8x + 2 =0 3. 2x…

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Q: 2 Solve [(1 + 2x)²D² − 6(1 + 2x)D + 16]y = 8(1 + 2x)² by using method of undetermined coefficients.

A: Let's solve given differential equation.

Q: Find the values that make the equations x1 + x2 + 3x3 = 3 x1 + 2x2 + 4x3 = 3 x1 + 3x2 + ax3 = b…

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Q: 3. Solve for X Y when using row operations. 2X + 4Y = 144 X +0.25Y = 30

A: The given system of equations

Q: Demonstrate that the equation x6 + y¹² = 703 has no integer solutions.

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Q: Minimization: Z = 5X, + 6X, + 10X, + 7X, + 19X5 Subject to: %3D 5X, + X2 + 3X3 – 4X, + 3X5 2 2 -2X,…

A: In this problem we can observe that all Xj ≥0 and so, Z can be minimum 0 as all coefficients of Xj…

Q: Find the solution to the 4x + y = 0 4x+y3D -8

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Q: find the all solutions of eguation 2-lo2+25 =-1+3i

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Q: Find all the solutions of the following, -2 2+ 3k -7 (3k-7)

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Q: -2 1 L-3 1 -1 1 -31 rx 5 30-4 1 y 6 -6.

A: Given is a system of equations in matrix form. The objective is to determine the unknown variables…

Q: Solve using Gaus-Jordan -3x-8y-z=-74 x-5y+4z=-7 -9x+y+z=-23

A: First of all, create the augmented matrix.

Q: Find all solutions of the equation x-+3x+2=0 in Z6

A: Given the function fx=x2+3x+2. Find all the solutions of f(x) in ℤ6.

Q: Find the depressed cubic equations for x3 - 6x2 -24x + 64 = 0

A: Given, x3-6x2-24x+64=0                   .......1Here, a=1 , b=-6 , c=24 , d=64Put x…

Q: Find all the solutions z³ = 2-2i

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Q: 4x-6y=36 X=-6 Solve using substitution method

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Q: The solutions of the quadratic equation z2+2x +7 0 are -2+iv24 2 2+iv24 4. O -2+iv38 2 O -7+iv24 2…

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Q: Find all integer solutions to 66X + 42Y = 258. Also find all solutions (x, y) with x, y positive…

A: Given : 66X + 42Y = 258

Q: Find by the LU factorization method solution of the following equation (2x + 3y = -1 (x=y=1

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Q: Solve the followi (a) 2x-4x3

A: Explanation and solution is given below....