[B] Find the values of a for which the following system of equations is consistent and has non-trivial solutions. [Give your answers as a1 < a2.] (а — 1)х1 + (3а + 1)х2 + 2ахз (а — 1)х1 + (4а — 2)х, + (а + 3)xз 3D 0 2x1 + (3a + 1)x2 + 3(a – 1)x3 = 0 - - aj = a2 =

Q: Solve for x. 7 - 7x + 74 - x – 8 x + 7 x2 х — 56 - -

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Q: 10. If the equation 2x? + bx + 9 = 0 has only one real solution, then which of the following could…

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Q: Suppose that your friend solved the equation (x + 3)2 = 25 as follows:(x + 3)2 = 25x2 + 6x + 9 =…

A: The approach used for solving the equation is correct. We can solve the equation using the approach…

Q: [1+i -1+2i] [i 3 If A = and B = find 3+ 2i 2 – i -2i (а) А — 2B (b) ЗА + В (c) АВ

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The equation (2x2 – 11)(x* – x² + 5) = 0 - (a) has two (and only two) real solutions (b) has, at…

A:

Q: B) Find the solution of the linear equations (use inverse method) - 2 x1 + x2 + 4 x3 = 3 3 x1 +2 x2…

A: first we will convert the given system of linear equation into matrix form AX=B then we will find…

Q: Consider the equation I1 +2 +13 = 25 where r1, r2, r3 € Z.

A: Consider the given equation: x1+x2+x3=25 His aim is to find the solutions for x1≥0, x2≥-3, x3≥0 and…

Q: If a, b, c are in GP, then the equations ax² + 2bx + c = 0 and dx² + 2ex + f = 0 have a common root…

A: Given a,b,c are in g.p So the ratio will be same ba=cbb2=acb=ac ---- {1}

Q: Solve the system #1 #2 3 CA 25 8. 6. || +8 +t Jhy 1 -5x2 -2x3 #1 -572 +2 -24 +225 -5x6 4 +325 -4x6…

A: We will apply elementary row operations on augmented matrix to solve this problem.

Q: The number of x1 + x₂ + x3 + x4 + X5 + X6 + X7 is equal to: non-negative integer solutions to the…

A:

Q: x3-2

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Q: (5) Find all integer solutions to the equation w² + 2x² = 7(y² + 2z²).

A:

Q: Compare the golf equation of h(x)=-16x2+120x and the baseball equation of h(x)=-16x2+60x+4 . What do…

A: Given that     The golf equation is h(x)= -16x2+120x    The baseball equation is h(x)= -16x2+60x+4

Q: Solve 2 [-[-530] = x(0) = 6, y(0) = = - 22 10 1 [3] 1-18-18- 16 = +

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Q: fe)=4x- 5 and g(x) +3x- 1, then find fg(x) Ax + 12x - 9 + 4x +5 Ax + 7x2– 19x + 5 Y +7x 6 16a2 28x…

A: Topic - functions

Q: За? — 14— 5 x2 +3x-40 9x2 –15x 3x-5 ||

A: Given,            3x2-14x-59x2-15x÷x2+3x-403x-5To find : Simplify

Q: (b) x1 + 2x2 + X3 = -1 X1 + 2x2 - X3 = -1 X1 - 2x2 + X3 = 3 (X1, X2, x3) =

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Q: Solve for M -76-2(m18)-9

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Q: What is the solution to these equations? (²)² = 2(x+12) [Select] (¹)² = 2(3-6) [Select] 525(x-3)…

A: 1) (1/2)2x =2x+12 2) (1/8)x = 23x-6 3) 5x =25x-3.

Q: Consider the following system: 2х + 3у — 2х х — 2у + 32 - 2y + 4z 1 1 %3D 2x – 2 (a) Find the…

A: The given equations are 2x + 3y - 2z = 1 x - 2y + 3z = -1 2x - 2y + 4z = -2 to find the parametric…

Q: Solve for b, y, c, d from the system of equations below: (b)(y) 4 10- = 0.01 – b – c – d (0.01 — Ь —…

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Q: Given the equation below, what is not true about the constants A, B and C? x? — бх + 2 A Вх + С - x3…

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Q: Find the result of the operations indicated in each of the following problems using the…

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Q: (c) Determine the definiteness of the quadratic form q(x) = xỉ + 2V6x1x2 + 2x3 %3D

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Given B = [03] and C= Solve 2X + B = C X- -10 11 [3⁰0 5 -10]

A:

Q: 4. (a) Write the system of equa c, and d of a cubic polynomia passes through the points A(1 them. Do…

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Q: (b) Solve the following difference equations. Уn+4 + Уn+3 13уn+2 — Уп+1+ 12yп = 3.2" + 2n -

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Q: Which pair of equations are inverses of each other A =v- (( - 4)-- 2 4+2, gx)%= *+2, gCr) =(x-2F+3…

A: f(x) = 1-x -5 y = 1-x - 5 y + 5 = 1-x Squaring both side , y+52 =1-x x =1- y+52