59. Let a, c +0. Show that the roots of ax? + bx +c = 0 cx? + bx + a =0 and are reciprocals of each other.

Q: Solve for X such that 2XT - A = B + (CI)", where 21 3 -1 A =|-1 5, B = 2 2 -3 and C = -2 3 10 1. -7…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: m = -3, -2+i,

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Q: Let a and b be positive integers. If ax + by = c has an integer solution (x, y), it is necessarily…

A: Consider the given equation. Find the characteristic for c if a, b are positive integers and ( x, y…

Q: What is/are the value/s of k if the roots of X2 + x + k = 4 are equal?

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Q: The formula in cell B1 is =A$2. auto fill is used by dragging B1's auto fill box across to c1,D1 and…

A: Enter A$2 in cell B1. Then Autofill is used by dragging B1's autofill box across to C1, D1, and E1,…

Q: ヒhe following DE Solve (3 -パ くュース- J+ +4Cy-x %3D

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Q: 2- Show that: (-1)m (2m + 1)! NIE

A: Solution:     Definition of Bessel's function:

Q: Solve for x if ear = 3e x with a and b positive, real and a + -b.

A: Given              e^(ax) = 3 e^(-bx)

Q: In(1+ 5.x?) 2 – 3x Differentiate with respect to x.

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Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: Transform the equation 17? ^2 + 18?? −7?^2 − 16? − 32? − 18 = 0 to one in  which there is no term…

A: Let ? denotes x and y respectivelyGiven:…

Q: х3 — 2х? - 5 %3D0, [1,4]

A: Sol

Q: Use the equations aF OF az ax az ay and ax OF ду OF az az az az and ax to find ду 5yz + 8x In(y) = =…

A: F=5yz+8xln(y)-z2∂F∂x=8ln(y), ∂F∂y=5z+8xy, ∂F∂z=5y-2z∂z∂x=8ln(y)5y-2z, ∂z∂y=5z+8xy5y-2z=5yz+8x5y2-2zy

Q: JUU A 10 3,735 - 3,60O = 135 tan 135° %3D 14) A student attempting to solve this Quadratic Equation:…

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Q: Give the general solution to the HLDE with the given set of auxiliary roots

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Q: Assume that P and Q are two positive distinct real roots of the quadratic equation (²₂. - -…

A: given quadratic equation t2-P+Qt+PQ=0 here assume that P and Q are two positive distinct roots of…

Q: = Solve the following PED: д и ди дı дх² = if u (x, 0) = 2x when 05x52

A: Given PDE is ∂u∂t=∂2u∂x2                    (1) also given that at u(x,0)=2x when 0≤x≤l2 By variable…

Q: Which of the following are the solutions of cotx+ 2 = 2 cscx on the interval [0, 2n)? 2 0, я * 37 2'…

A: Question is solved.

Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: Give the general solution to the HLDE with the given set of auxiliary roots. m = 0, 3, -1, l±/2 m…

A: Solution is given as below:

Q: If the roots of equation x² - 2cx + ab = 0 a the that th of 2 20 41

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Q: fa,b.c are in HP and a.B are the roots of ax + bx +c = 0. Fhen prove that the HM of a.B is (1+ aß)

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Q: Solve the following ég stam of equations by using invese maHrices Not POSSIBLE and conclusion, , IpO…

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Q: obtain the four roots of characteristic equation as follows: p+ Vp? – 8pi? 272 p- Vp? - 8pi? 212 12…

A: As per the instruction, we will have to find the roots that are marked in blue. So, we will be…

Q: Enter the exact answer. dy = V9 - 8y

A: To solve an integral using substitution method  Firstly take the substitution and determine the…

Q: 2 Xi. にく prove thate 2.

A: Given that  We have to prove the given expression:

Q: show that x'-15x +C= O has at most root on E2,2] one

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Q: Show that the equation In(x + 1) = In(x²) has at least two real solutions.

A: we need to show that ln(x+1)=ln(x2) has at least  two real solutions.

Q: Show that o () –1 is an implicit solution to 2 -2y on the interval (-00, 00). Inload our

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Q: Find the complete or particular solution of the following diffi- rential equations:

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Q: Show that if p, q, r and s are real number and pr = 2 (q + s),then at least one of the equations x…

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Q: Prove that if one root of ax? + bx + c = 0 is twice the other then 2b = 9ac

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Q: (x – 2)² – In x = 0, [1,2]

A: Follow the python script.

Q: Solve for x, where x is a real number. 7x+39 x+30 =3 - (If there is more than one solution, separate…

A: Given equation7x+39-x+30=3We have to solve for x , where x is real number .

Q: 1. What are the roots of the equation (x + 1)(4x – 3) = 0? C) x= 1, - D) x= 1 A) x = -1,3 B) x= -1,

A: (x+1)(4x-3)=0⇒(x+1)=0 or (4x-3)=0⇒x=-1 or 4x=3⇒x=-1 or x=34⇒x=-1 ,34

Q: Prove that there are no solutions in integers x and y to the equation 2x2 + 5y² = 14.

A: Two different proofs are given for the given problem as follows :

Q: Advanced Math Question

A: To answer the given question we shall use the following rule. Descartes' Rule: The number of…

Q: Show that, by det by b2 92 •92 =TT (ai-bi) br b2 b3 an

A: We have to show that det111⋯1b1a1a1⋯a1b1b2a2a2⋮⋮⋮⋮b1b2b3⋯an=∏i=1nai−bi Let us consider the matrix…

Q: . Give the general solution to the HLDE with the given set of auxiliary roots. 1. m = 0, 3, -1, 1±/2

A: Given roots of auxiliary equation of a homogeneous linear ordinary differential equation. Setting…

Q: 7.For which value of k will the roots of 2x + kox+1 = 0 be real? .2 1) 1 2) 2 3) 3

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Q: 2. Write an equation in standard form ax? + bx + c that has roots of x = 4,. %3D

A: The roots of given equation is x=4,12 To find the equation in standard form

Q: + .... Ex. 5. Prove that P,(-) = P,(-}) P,(4) + P,(-1)P2m -1 () + -. Pa(-)P.().

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Q: B a. In the figure, if AX = (3x + 1) cm, BX = 4x - 1 cm, AY = 4x + cm, YC= 5x-1 cm and x = 2, prove…

A: SOLUTION-

Q: If one of the roots of ax^2 + bx + c is 2/3 + 5/9i where a, b and c are integers, what is the value…

A: Explanation of the answer is as follows

Q: Find a zua dra tic equañon J3+1 and 1- 3 whote roots are

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Q: 15. Show that the equation, ³ + e* = 0 has exactly one real root.

A: we have x3+ex =0to check number of roots we can draw graph of both and check number of intersection

Q: B. Give the general solution to the HLDE with the given set of auxiliary roots. 2. m =-2, -2, 5, 5,…

A:

Q: dt 7) /2-t

A: 7).∫-∞-2dt/2-t                         = ∫-∞-2(2-t)-1/2dt

Q: 1? Which of the following quadratic functions has roots x = 3 and x = O x?+ 4x + 3 O x? + 2x – 3 O…

A: