Use the attached question to answer; With x1,x2,x3,x4 being less than 0 i)Write the dual to the problem

Q: Given that (x−2)(x−2) is a factor of x^3+x^2−5ax+2a^2 , 'a' can take the value of 2 or which other…

A: Given,           (x−2)(x−2) is a factor of x3+x2−5ax+2a2.

Q: Use the side-splitter theorem to solve for x in the triangle below. 11 4 16

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Q: Use the proof by cases to prove that there are no solutions in integers x and y to the equation 4x?…

A: Here we use the fact that x2≥0 and y2≥0 and will be square of some integers. So possible values of…

Q: "The product of two negative real numbers is positive" Is given by? Select one: O a. 3x Vy (x 0)) O…

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Q: Find the general solution off the following charccteristac eq uation, (m-1) (m+2)-(m-3) (m+u)=0

A: The characteristics equation of the differential equation of the form ay''+by'+cy=0 is am2+bm+c=0.…

Q: + k-a a 거+a a-k

A: Given:   ya=-xk-a+1 To Prove: y=aa-kx+a

Q: Solve the IVP, explicitly if possible. 3y x+9(-7)=1 (x– 7)* 8. y=(x+9)3 (x + 9|) yl = (x+9|)

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Q: Prove the equations 3.x +9 = 2 are equivalent. Explain why or y or

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Q: For what value of 'y', x² + 12 + x + y² is a perfect square?

A: Given query is to find the value of y which makes expression a perfect square.

Q: Suppose A is m x n and b is in TRm. What has to be true about the two numbers rank| A b and rank A…

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Q: If a, b, c are integer powers of 2, prove that equation a³ + b* = c° does not have solution,…

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Q: If y satisfies the given conditions, find y(x) for the given value of x. y ' (x) = 5/square root of…

A: We have to find

Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

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Q: Does the Intermediate Value Theorem guarantee that the following equation has a real solution…

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Q: If r1 and r2 are two real and unequal roots to the auxiliaryequation ar2 + br + c = 0 , then general…

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Q: b) h(x) (2х + 1)(x*— 3)? %3D

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Q: Given that each of the following quadratic equations has no real roots, find the Pange of kx² - 4x +…

A: General form of quadratic equation:ax2+bx+c=0Quadratic Formula:x=-b±b2-4ac2ab2-4ac=0    one real…

Q: Solve this question 2xy = (y)² + 1 Where y is absent

A: Given 2xy'y''=(y')2+1. We have to solve the given second order differential equation.

Q: What is the axis of symmetry for h(x)= 2x²-4x+1? O A. X = 1 O B. X = -2 C. O D.x = 1 4.

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Q: If the roots of the equation x2+2cx+ab=0 are real unequal,prove that the equation…

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Q: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

A: How to solve this non exact or exacr DE xdy+ydx-3x3y2dy=0

Q: B. If AC = x + 11, and AB = 24 solve for x. %3D

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Q: Prove that the equation x2(a2+b2)+2x(ac+bd)+(c2+d2)=0 has no real root ,if ad is not equals to bc

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Q: Find how many solutions there are to the given equation that satisfy the given condition. X1 + X2 +…

A: To find the number of solutions of the given equation  x1 + x2 + x3 = 21, each xi  is a positive…

Q: Prove the equations = 4 and x= 4(x-2) x+2 are equivalent. Explain why or why not.

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Q: If x= v3 + 1, then the value of (x --)² is %3D (a) 2 (b) 1 (c) 0 (d) 4

A: x=3+1 we have to find x-1x2

Q: Given that Xx²=16 Solve for x

A: The given that xx^2 = 16

Q: For any numbers a andb and an even natural number n, show that the equation x" + ax + b = 0, x in R,…

A: Here, to prove this result we have to use Rolles theorem.

Q: (1+x²)y" + 10xy' + 20y = 0

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Q: Answer this question by showing all work and formulas used to solve: Differentiate and simplify. 3 y…

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Q: Find the number of integers c such that the equation ||20|1| – a*| – has 12 distinct real solutions.

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Q: 1. Prove that C(n, r) = n!/r!(n – r)!

A: Since you have asked multiple questions we will solve the first question for you. If you want to be…

Q: Prove that zero is a root for the equation ax' + bx² +cx+d = 0 if and only if d = 0. What can you…

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Q: Solve for y, where y is a real number. /2y+12+1= 3 If there is more than one solution, separate them…

A: Square both sides

Q: Regardless of what real numbers I substitute for x and y, I will always obtain zero when evaluating…

A: We have given expression 2x2y-2yx2   The result of this expression always zero for any real numbers.…

Q: Which shows all of the solutions of the equation x 16 %3D 121 4 11 O z = +

A: To find- Solutions of the given equation.

Q: Solve for u, where u is a real number, 4√u = 2, if there is more than one solution, seperate with…

A: To determine: The value of u, where u is a real number, 4√u = 2

Q: Show that the equation  x4 + 4x + c =0 has at most tworeal roots.

A: Given: The method of contradiction is used to prove that the above equation has at most  two roots.

Q: Given two nonnegative numbers a and b such that a+b=4, what is the difference between the maximum…

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Q: Hence or otherwise solve the equation x²y" – 4ry + 6y = In r². %3D

A: The given problem is to find the solution for the given non homogeneous differential equation. Given…

Q: Suppose z-2z +x=5, What is the value of y ? | - 3 3 0 3i nim

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Q: Solve the following equation completely. x* + 2x + 6x? 8x – 40 = 0 - - The real solutions are x =…

A: Our Aim is to solve the equation completely given below:-x4+2x3+6x2-8x-40=0 -(i)Our Aim is to…

Q: If the roots of the equation x2+2cx+ab=0 are real unequal ,prove that the equation…

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Q: Let A and B be real numbers such that a root of the equation z ^ 3 + Az ^ 2 + Bz + 26 = 0 is 1 + i.…

A: First of all, as coefficients A and B are real, we know that, if z ∈ C is a root of an equation,…

Q: OShow that every cubic equation of the form x³ + bx2 + c = 0 where b and c are real numbers has at…

A: Given: x3+bx2+c=0, where b and c are real numbers. The objective is to show that every cubic…

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

A: Given that a,b,c in G.P and the equation ax2+2bx+c=0 and dx2+2ex+f=0 have a common root.

Q: If r is the only (repeated) real root to the auxiliary equation ar2 + br + c = 0, then general…

A: Given:ar2+br+c=0

Q: - 3. If AB = 8x +5, CB = 10x1, and BD LAC, solve for x. B RO A C D

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Q: · Solve the following equation: (State restrictions) 2x 3 x² – 9 ' x + 3 3

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.