What is the average of the two solutions of the arbitrary quadratic equation ax2+bx+c=0

Q: What is the result of adding these two equations? 2x + 3y = -5 5x – y = -12

A: See attached file for a step by step explanation.

Q: hat is the average of the two solutions of the abitrary quadratice equation ax2 + bx +c = 0

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Q: What are the solutions of (x-5)(4x+10)%3D0

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Q: Find the approximate solution by graphing: 2x2 + 3x - 2 = 0 О 2, 1.5 O - 1.5, -0.5 O - 2, - 0.5 О-2,…

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Q: Find the general solution of the equation (2x+2/y) + (2x^2/y+2x/y^2)y' = 0

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Q: The solution of the quadratic equation 5æ² + 5æ + 2 = 0 are. O -5+ V5 20 O -5+ V5 15 O -5+ V5 10 O…

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Q: If y" = 9x + 2x -1 then the particular solution is:

A: given differential equation  y'' =9x2+2x-1

Q: 12. Show that the equations p² +q? =1 and (p² +q³)x= pz are compatible and hence find its solution.

A: The equation are, p2+q2=1    ⋯1 And p2+q2x=pz                    ⋯2 To show that these equations are…

Q: Find the extraneous solution for the equation. x = v20 + 8x O-10 5 O 10 O-2

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Q: 1 Explain if the point ( -2, 4) is a solution to the sytesm 3x + 4y = 10 and - 3x + y = 15 2

A: System of equations solution.

Q: The number of solutions of the simultaneous algebraic equations y = 3x + 3 and y = 3x + 5 is

A: We have to solve given problems:

Q: solve below equation system in N Vx +y = 7 and x+/y = 11

A: In algebra to use numerals, symbols, and letters called variables, or pro-numerals, and combinations…

Q: 1,5х + 2х, 3D 4 4x1 +X2 = 6

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Q: scriminant of the quadratic equation x2+2x-7=0

A: Introduction: The discriminant of the quadratic equation ax2+bx+c=0 is given by, d=b2-4ac If…

Q: The equation (7x^2 +4x = 3) has two solutions, what are they? Smaller solution is x= Larger…

A: Given equation  is:         7x2+4x=13Subtracting 13 from  both sides,        7x2+4x-13=13-13…

Q: What is the solution set of the equation Vx² – 3x+3 = 1? %3D (1) {1} (2) {2} (3) {1,2} (4) { }

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Q: Show that the equation x2 + y2 = 2003 has no solutions in the integers.

A: Consider the given equation: Here the objective is to show that the above given equation has no…

Q: Determine the solution of ( D3 - 4D2 + 3D)y = 0

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Q: If 7x – 6y = 2 and -2x – y = 3 are true equations, what would be the value of 7y? 5x -

A: Given equations 7x - 6y = 2  { Let this be equation number (i) } -2x - y = 3   { Let this be…

Q: Find the general solution of the equation y" - 2y' - 3y = 4x −5+ 6xe ²x

A: To obtain the general solution of the nonhomogeneous differential equation y''+pxy'+qxy=gx, use the…

Q: Please help

A: Comparing the given quadratic equation by ax^2+bx+c=0, we have a=1, b=-2, c=-6.The solution of given…

Q: Eliminate the arbitrary constants of the general solution: В y = Ax3 + + CVx x2

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Q: Find the solution to the problem 5x + 2y =12 - 6x-2y=-14 (__,__)

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Q: 1. Solve by graphing  a) 3x - 2 = 2y   b) 5x-5y=10

A: See the attachment

Q: Show that the equation 3x+4y+5z=a, 4x+5y+6z=b and 5x+6y+7z=0 do not have a solution unless a+c=2b

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Q: Find the particular solution y'=4x3+3x2 if y(0)=4

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Q: Obtain the general solution. (D^4- 5D^2- 6D - 2)y = 0

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Q: The solutions of the quadratic equation 4x2 +3r +2 0 are O-3+V-15 8. O 3+V-7 12 O -3+ V-23 8. O…

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Q: Find a particular solution of y" + 2y = -12x + 18.

A: The question is asking about only particular solution not whole solution.

Q: Find the general solution of (1) yV – 2y" + y" = 24x² + 12x +8

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: . Find the general solution of y"-3 y'= 4x? – 2y

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Q: y" - y = x²ex + 5

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Q: ai) Solve explicatly dy zy 2X txe 17 =

A: Given equation is dydx=2yx+x2ex, with initial condition y1=0. Solve explicitly.

Q: Which equation has the same solutions as 2x +x- 3= 0? (3) (2x– 3)(x+1) = 0 (4) (2x+3)(x-1) = 0 (1)…

A: Given :             2x2 + x - 3 = 0

Q: The general or standard form of a quadratic equations is ax2 + bx + c = 0, where a cannot equal…

A: Quadratic equations  Highest Degree is  two

Q: given that y = 2x^3 - 9x^2 + 12x + 2 = k has three solutions , kind the possible values of k

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Q: What is the solution set of the equation %3D x - 4 x + 3 x² – x – 12 O (4} O { } O {-6} O {-4,6}

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Q: Find the general solution of (2) y′′′−3y′′+3y′−y=4et.

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Q: 4. Find the complete solution of 2x³y' = y(y² + 3x²) %3D

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Q: If the discriminant of ax2 + bx + c = 0 is positive, the quadratic equation has________ real…

A: We have to fill in the blanks: If the discriminant of ax2+bx+c=0 is positive, the quadratic equation…

Q: obtain the general solution of (D^3+3D^2-4D-12)y=0

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Q: Find the general solution of the equation: y(4) – 2y" + y = 4cosx – 2sinx.

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Q: Solve the equations by Gaussian elimination: 4x + 6y – 2z = 8 6x + 9y – 3z = 12 -2x - 3y + z = -4

A: Solution using Gaussian elimination is given below

Q: Find the general solution of the DE: y’’’ - 4y’ = 32xe^2x - 24x^2

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Q: What is the sum of all real solutions to the equation: 4x2 + 7x - 15 = 0

A: “Since you have asked multiple question, we will solve the first question for you. If you  want any…

Q: Obtain the general solution to (D2 + 1)y= secCxcscx

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Q: Find the four solutions of the equation z4 - 2z2 + 4 = 0.

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Q: =0, its solutions is: 3 %3D if | 3. x = - 4 + 2/5

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

Q: Find the solution of x2 + y2 = 4 and x2-y = 4

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Q: Find the particular solution of  y ' = 4x3+3x2 if y(0)=4

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