15. What is the discriminant of the quadratic equation ax? + bx + c = 0? Find the discriminant of 2r? – 3x + 5 = 0. How many real solutions does this equation have?

Q: How many non-negative integer solutions are there of the equation: x + y + z + w = 15?

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Q: For the quadratic equation ax2 + bx + c = 0, the discriminant is D = The discrimin If D> 0, the…

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Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c= 0 b is whereas…

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Q: 4. Use the method of undetermined coefficients to find a general solution of the equation y" - 2y" -…

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Q: How to solve this equation y'''+2y''+4y'+8y=5e^(3t)+1 using Method of Undetermined Coefficient

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Q: 5) Find a general solution of the equation y" - 7y' +6y=3e³x. 11 - 7y! + by = 365x - Ar + 6 = 3e³z…

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Q: 7. Given that a and B are the roots of the quadratic equation x? + px + 8 = 0 while 2a and 2ß are…

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Q: 3. 5x? + 6x – 12 = C | Solve by using the quadra ax? + bx + c = 0 first. 5.)x? + 4x + 3 = 0 - 7. x?…

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Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

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Q: 2. What is the sum of the roots of the quadratic function y = x² - 11x+28? A -11 D 11 E 28 3,

A: Given that:   y= x2 -11x +28 . Find the sum of the roots of the quadratic equations. Here i attached…

Q: Q.3 use elimination methed to solve 2. X +2 +3x + 8y =2 2.

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Q: 2. consider the equation 2ri – 3x2 + x3 + X4 = 3 (a) In te six possible combinations, set any two of…

A: Given equation2x1-3x2+x3+x4=3The all six  possibilities of equations with any two variables equal to…

Q: 2) Does the equation 2x + 6y = 35 have any solutions where both x and y are whole numbers? Why or…

A: The given equation is  2x + 6y = 35

Q: 5. Answer the questions for the ollowing quadratic equation y = (x- 1)^2- 3 T 10

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: e) Prove that the quadratic equation A2-3A = -21 holds true for -6 -6 A = -1 4 3 -6 -4/

A: Given that: A=5-6-6-1423-6-4

Q: The solution to (2x+5)= -(x+2) lies on which interva а. [-12,-8] 2. 15 b. [-9,-4] c. [-3,-1] С. d.…

A: Given  115 (2x+5) = 19 (x+2)⇒ 93 (2x+5) = 155 (x+2)⇒ 3 (2x+5) = 5 (x+2)

Q: 7. 2x-42 = 20 -3x + y- 42 = 20 -4x + 2y + 32 = -15

A: We will solve the following. As per the guidelines we can solve 1 problem only

Q: Show how to solve this equation algebraically: 3y – 5y – (2 – 3y) = 8y + -5y + 14

A: topic - equation in one variable

Q: 18. If r and s are the roots of the quadratic equation x2 – 4x – 5 = 0, what is the value of (r +…

A: As per our guideline if multiple questions are posted we are supposed to answer only the first one.…

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: How many non-negative integer solutions are there of the equation: x + y +z+ w= 15?

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

Q: 6. Discuss the nature of the solutions of the given equation without solving. A) 7x² + 5x - 1 = 0 B)…

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Q: Obtain the solution set of z* - j3z? – 2 = 0. (Hìnt: factoring and quadratic formula)

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Q: 4. a) How many non negative integer solutions exist for the equation w+x+y+x= 80. b) If w = 8, now…

A: Solution are:-

Q: 3(x-2)+7x=1/2(6x-2) has how many solutions?

A: 3(x-2)+7x=1/2(6x-2) has how many solutions?

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax2 + bx + c = 0 is --…

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Q: If the equation x²+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of…

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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: 4. Use the method of undetermined coefficients to find a general solution of the equation y" - 2y" -…

A: Given that,     y''' -2y''-4y'+8y=6xe2x Let y=Aemx(≠0) is a trial solution of the homogeneous part…

Q: Find the general solution to 22" +3ry = 2x3, r> 0. x>0.

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Q: quadratic equation

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Q: What is the average of the two solutions of the arbitrary quadratic equation ax^2 +bx + c = 0?…

A: The given arbitrary  equation is : ax2+bx+c = 0we know that sum of roots = -baAverage of roots =…

Q: Which is the correct set up for the quadratic formula given the equation: 3x2 – 6z = 12 o) 4(3)(12)…

A: The given quadratic equation is  3x2 - 6x = 12

Q: Find the general solution of t²x' - xt = 2x²2 for t > 0

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Q: 8) How many solutions does the equation a. 0 b. 1 X+5 x-3 IX 1 || 4 x²-3x C. 2 d. 3 have?

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Q: 2. The sum of the roots of the quadratic equation x²-x-6=0 is given by 2 O

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Q: 4. Solve for the value of x in equation 4x + 8x 0. A. x 0,-2 B. x 2,-2 C. x 1,2 D. x =-1,-2 5. In…

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Q: 5. Give an equation, for y = v4 – x2 compressed vertically by a factor of 3 %3D

A: We know that when the graph of f(x) is compressed vertically by a factor'C'.  Then the transformed…

Q: How many real-number solutions are there to the quadratic equation 2x2 + 5x + 1 = 02 a. eslim b. 1…

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

A: Given quadratic equation ,ax2+bx+C=0

Q: 1. Find how many real solutions x2 + 6x + 24 has. What are those solutions (real or otherwise)?

A: Since you have posted multiple questions as per our guidelines we are allowed to answer the first…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 is whereas…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax² + bx + c = 0 whereas the…

A: See the attachment

Q: (4) Show that in general, the sum of the roots of a quadratic equation ax? + bx + c = 0 b is whereas…

A: The quadratic equation is given as ax2+bx+c=0 Its roots are given by x = -b±b2-4ac2a Hence its roots…

Q: 四同 1 こ-

A: using the definition of linearly independence, we solve the given problem in next step......

Q: Solve for : 6 6 х — 20 20 (no fractions) (in the form ax? + bx + c = 0 ) x = (type: "x=? is not…

A: Explained below

Q: 17) Use the method of Undetermined Coefficients to solve y" – 3y" + 3y' – y = x – 4e* .

A: To solve the given ordinary differential equation using the method of undetermined coefficients…

Q: Vyan+1 + y"/y2n+1

A: The solution is given below in the next step:

Polynomials

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