Given that a, B and y are the roots of the equation 423 – 522 + 3z + 11 = 0. a3 Without finding a, B and y, find the value of 33 – 1 g3 – 1 1

Q: Given that k# 1 and the roots of the equation =k are a. B and 7. use the substitution z = (x-2) to…

A: Roots

Q: Let p and q be the two roots of the equation mx? +x(2-m)+3=0. 2 Let m,, m, be the values of m…

A: Given mx2+x2-m+3=0        ...(i)

Q: Which of the following is not a 6-th root of unity that is not a solution to? z6 = 1 a. +i- b. -1 c.…

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Q: 11. Given a quadratic equation (a – 2)x² – 6ax + 9a + 53 = 0 Where the roots are positive integers.…

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Q: Determine the all the roots of z4 +1 = 0

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Q: If the roots of the equation ax²+bx +c = 0 be a and s and those of the equation b - 4ac Ax + Bx +C =…

A: Introduction :

Q: Explain why the following five statements ask for the same infor-mation. a. Find the roots of ƒ(x) =…

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Q: Solve the following equation for t. 14 - 21| + 5 = 12 %3D

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Q: Find all the solutions of + 1z10 + 122 +...+11 = 0 to: Hint: What happens when you multiply the…

A: We will find out the required roots.

Q: 1.) 6x² + Ilx - 35 = 0 |3| 2) 20x² – 15x -10 = 0 3) 2x2 +8X =0 4) 4x2 +3x - 2=D0 5) 2x2- 64=0

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Q: If x^4+ax^2+bx+c= 0 has roots x=−1,2,and 3, find the values of a, b,and c, as well as the fourth…

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Q: For the quadratic equation 9x^2+(3k+1)x+4=0 find the value(s) of k so that there is 1 real root.

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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: Given that a+1 and ß+1 are roots of the quadratic equation 2x -bx-2=0, and that the two roots are…

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Q: 6. If the auxiliary equation has an imaginary roots those roots must occur in 7. The solution of(D²…

A: Here we have to solve the following questions.  6) If the auxiliary equation has imaginary roots…

Q: Solve ++1=0 by obtaining the roots. Answer: a를(1±jv3), 를(-1± jv3) b. 글 (1± 5v3), 글(-1± jv3) c를…

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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: Which of the following quadratic equations will obtain 2 rational roots? A. 2x2 +11x + 12 = 0 B. 4x2…

A: To find which of the following quadratic equations will obtain 2 rational roots

Q: 1. Solve the following equations and list all the roots. a) (x² – 25)(x² + 5x – 14) = 0 b) (2x +…

A: Simplify the equation then find roots.

Q: What is one root of this equation? 2x2 – 4x + 9 = 0 %3D -2 + 14, O B. -1 + , O A. O c. 1+ 14, OD.…

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Q: (d²4)(d-2)y=0

A: To find the roots of  (d2 - 4)(d - 2)y = 0.

Q: The sum of the roots of 2x+10x² -4x+5=0 is 5 0 .a O None of these b o -5°C 0 d o

A: Given,          The equation is 2x4+10x2-4x+5=0.

Q: 2. t C .) x-L +さ-2= 2 2- %3D

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Q: When the equation 5.26z + 2.15x – 1.67 = 0 is solved, the twvo values of the unknown z are and

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Q: Find all the roots of z = -4 + (4V3)i giving each root in the form re". %3D 8° = -4+ (43) C

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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: 6/ Find the value of k wherex 1, for which the two equations kx? + 2x + 1 = 0; x + 2x + k = 0 have a…

A: As per our guidelines, we are supposed to do only 1 question. Kindly repost other question as the…

Q: 29. It is given that a and ß are the roots of the quadratic equation x2- px-5 = 0. Form a quadratic…

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Q: If a + ß and o² = 5a - 3 and ² = 53-3, find the equation whose roots are alß and B/a.

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Q: If a and b are roots of x2 - 4x - 21 = 0, where a > b, find the equation whose roots are a/b and…

A: First obtain the roots of the given equation as follows.

Q: 43. Given that r is a root of the quadratic equation x² - 3x - 5 = 0, find the value of 2r² – 6r +…

A: Given: r is a root of quadratic equation x2-3x-5=0. To determine: Value of 2r2-6r+1

Q: Find all solutions to the following equations: (a) 5x° – 26x* + 35.x* + 14x² – 44x +8 = 0, given…

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Q: 1. Determine the nature of the roots of the following equations: (a) 3x + 5x +4 = 0 (c) x-8x + 16 =…

A: Given that: 1x-1x+1=15

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: Determine all the roots of R(y)=12y²+11y-5.

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Q: (1– (C+D)), provided (C+D) 4PQ. (28) Substituting (25) and (26) into (28), we get the condition…

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Q: Determine the value of the missing coefficient so that the roots of the equation are equal and are…

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Q: A quadratic equation x2-4x+4=D0 is defined with Po=2.5 and p1= 3.4. Find the approximated value of…

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Q: 1, Without solving, find the sum and product of the roots of each of the following equations. 1.…

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Q: Given that z=1+2i and z=1-2i are roots to polynomial equation 2z^3-5z^2-cz-5=0 where c E R. Fnd the…

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Q: Use undetermined coefficients metho to find the generel solution to the given DES - (3) (c) j +4y'=…

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Q: It is given that a and ß are the roots of the quadratic equation (x – 2)(x – 1) = p. If (2a – 1)(2B…

A: given(x-2)(x-1)=pexpand this expressionx2-3x+2-p=0ax2+bx+c=0if the roots of this equation are α and…

Q: 6. Choose the correct answer. Which of the following equations has no real roots? O x² + 4x x² + 4x…

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Q: Given that k#1 and the roots of the equation z' = k are à, B (x-2) and Y, use the substitution z =…

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Q: If a, b are the roots of x2 + px + 1 = 0 and c, d are the roots а, of x? + qx + 1 = 0, then the…

A: Introduction :

Q: Let n = Z and AABC be a right triangle with right angle at C. If sin A and sin B are the roots of…

A: What is Quadratic Equation: When a quadratic polynomial assumes the value zero, that equation is…

Q: . Given that z = 1 is a root, find the other two roots of 2z3 −z2 +3z−4=0

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Q: Which of the following quadratic equations has the sum of product of the roots to be 4 and 7,…

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