6. Find all the solutions of the quadratic 2x² – (a + 2b)x + ab = 0.

Q: The solution of the quadratic equation 3x +3x +3 0 are O -3+ V-18 -3 + v-27 3土 V9 12 O- 3 v 9

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Q: What is the solution to this quadratic, -3x + 8x-6 = -4 + iV2 3 4 +iv2 {*} 3 -4 + 2iv2 3 S4±iv2 3

A: given equation-3x2+8x-6=0compair withax2+bx+c=0a=-3, b=8, c=-6we know that…

Q: The solution of the quadratic equation 4x² + 5x + 2 = 0 are O -5± vỹ 8 O -5± vỹ 12 O -5+ vī O -5+v-7…

A: Given: 4x2+5x+2=0Formula to find the value of x for an equation ax2+bx+c=0x=-b±b2-4ac2a

Q: Solve the following quadratic equations by completing the squ method. 1. x2 + 8x - 10 = 0 2. x2 + 4x…

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Q: What are the solutions to the quadratic 3a - 2x 8? Ax -2; a = 4 4 Ba=-2; -2; x = 3. 4 = 2; a: 3. Da…

A: To find the solution, we need to equate the expression to 0, and then factor it and then finally…

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

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Q: What is the solution to this quadratic: x2-6x +9 0 {3) {-3+3i/2, -3 – 3i/2} {-6+6i/2, -6 – 6i/2} {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: Use the method of undetermined coefficients to find the general solution of the equation y" + 16y =…

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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: 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: 13. Solve for A and B. - 7x +8 A B %3D 3x +x-2 3x-2 x+1

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Q: The solution of the quadratic equation 3x2 + 6x +4 = 0 are O -6+V12 12 O -6+V12 O -6+ V12 9 O -6+ võ…

A: Find the roots of the quadratic equation

Q: 8. Solve 2y3+ 32y= 16y² %3D

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Q: discuss the nature of the quadratic equation form  x2+4xy+6xz-y2+2yz+4z2

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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: Solve for the general solution of (D: - 5D + 6)y = 4e* using method of undetermined coefficients.

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Q: 5. Use the method of undetermined coefficients to solve (a) y" +2y' + y = x²e¬ª.

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

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Q: The product of all of the solutions of (4x + 2k )(2- 5x)=0 is (-15). Find k.

A: 4x+2k2-5x=0solutions:4x+2k=0    or   2-5x=0x=-k2         or    x=25

Q: Find the quadratic equation through the origin that is a best fit for the points: (1,1), (2,5),…

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

A: See the attachment

Q: Confirming Homework. See Attached

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Q: Solve for a a %3D 2m²

A: Solve for a

Q: The solution of the quadratic equation 3x2 + 5x + 2 = 0 are O -5+ V1 6 O -5± V13 9 O -5+ v7 6 -5 +…

A: For the quadratic equation, ax2+bx+c=0 Solution (roots) are given by, x=-b±D2a, where D=b2-4ac

Q: Prove that the equation 2x2 + y² 14 has no positive integer solutions.

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Q: Find the nature of the quadratic form 2x2 + 2y? + 2z² + 2yz

A: Convert the given quadratic form to matrix form and solve it...

Q: 2- Find the solution to the following quadratic equation using the difference between two squares…

A: We have to find the solution to the quadratic equation using the difference between two squares…

Q: 12) Use the discriminant to determine the number and types of solutions for: 5x2 + 6x - 2 = 0…

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Q: The solutions of the quadratic equation 3z2 = 4x 17 are, O -4+v-137 -4+V-86 9. O 4+v-188 6. O -4+v-…

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

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Q: quadratic equation

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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 nature of the quadratic form 2x2+2y2+2z2+2yz

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

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Q: The solutions of the quadratic equation x(x + 4) + 15 = 0 are 4+iv8 2 O -4+iv8 4 O -4+iv12 2 O…

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Q: e and p are the roots of the quadratic equation x2+ 5x– 13 = 0, form a quadratic equation in x whose…

A: Given,            α and β are the roots of the quadratic equation x2 + 5x - 13 =0

Q: 10. Solve for x and y: 3x - 5y = 13 -2х - Зу %3D 4

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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) 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: Find the complete solution of the DE y"=9x* + 2x –1.

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

Q: 3. Identify a, b, c in the quadratic equation, 2x+ 5 = 3x

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Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

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Q: The solutions of the quadratic equation x + 3x + 9 = 0 are O -3+iv36 2 -3+iv27 2 O -3+iv27 4 O…

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