Roots 3: If a quadratic equation with integral coefficients has 5-2i as one of its roots, what is the other root?

Q: 3. A quadratic equation has x = -3 – 5i as a solution and passes through the point (-1, 4). Write…

A: A quadratic equation has x = - 3 -  5i as a solution and passes through the point (-1 , 4). So, x =…

Q: Question - x -1 lx +22 since the roots of the equation are x = 3 and x = 6, the base of the number…

A: Now we will solve the problem  We know,  the general form of quadratic equation  is ax^2 +bx +c=0 .…

Q: Q.Find the value of p for which the quadratic equation (p+1) x^2-6(p+1) x+3(p+q) =0, p not equal to…

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Q: 6. If 3- 5 is one root of an equation and the equation has real, integer coefficients, what is the…

A: Solve it

Q: O I = -V10 O z = V5 O = -V5 VIO 8. O no real solution V 5

A: (1/5)x2+2=(3/5)x2

Q: 4.Use Newton's method to find all solutions of the equation correct to six decimal places. (Enter…

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Q: Solve Degree 3; zeros: 4 + i, 6

A: Give zeros : 4+i  and 6 Imaginary zeros occurs in pairs So, 4-i is also a zero Now we need to write…

Q: 2) f(x) = x3 + 9

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Q: 12. Degree: 8; Roots: x=±l, x=2-i, X3D1+i, x=±3

A: To find the polynomial of degree 8 which roots x=±1, x=2-i, x=1+i, x=±3 Note that, the complex roots…

Q: ex = 4x² %3D

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Q: 1. Find the smallest positive root of the equation x In x = 1 correct to the three decimal places by…

A: Firstly we solve given equation xlnx-1=0,  (a) Using method of false Position, And then we solve in…

Q: Use the Intermediate Value Theorem in Exercise to prove thateach equation has a solution. Then use a…

A: Intermediate Value Theorem states that, Let f:[a,b]→ℝ is continuous, and c is a constant number…

Q: Solve Degree 4; zeros: i, 1 + i

A: To Find: Degree 4 polynomial whose zeros are i and 1+i. Concept: Complex zeros occur in conjugate…

Q: (V3+i) (-2+ J3i) Solve by using De Moivre's theorem and write the result in form of (-1+5i) x+ yi…

A: complex number

Q: 2. Solve cosh. z=-2i.

A: Given equation is: cosh z = -2i

Q: y" - y = sin? x Using the method of indeterminate coefficients, solve the particular solution of…

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Q: a. Form the quadratic equation which has the roots 1 and 2. Give 3 your answer in the form ax +bx +c…

A: For a quadratic equation of the form ax2+bx+c=0 the formula for roots of the equation is…

Q: using De'moivre's theorem solve the equation, (x+1)5+(x-1)5=0

A: Rational Numbers: All the numbers which can be written in the form of pq. Here, p and q are integers…

Q: z^3=(2-2i)/(1+i) Question: Find the roots of the above equation in algebraic form?

A: We will find the roots in algebraic form of the given problem

Q: Q1/Use Newton's Method to find the only real root of the equation .correct to(6)decimal places…

A: Given x3-4x2+x-10=0 We shall find the root of the given equation using Newton's method.

Q: 6. f(x)=(x+5)(x-5x+25) Possible roots (degree): Given root: Other roots: Real roots Complex roots

A: Solution Question 6 Given,  fx = x+5x2-5x+25  We have to find the degree and roots of the fx.

Q: 6. Using Newton's method, determine the two real roots of the equation 4x +4x-x' +9x+3 0. is 45 435…

A: First find the first root from the newton method then use the first root as the initial solution to…

Q: 1. Using completion of square find a general solution to ax? + bx +1 = 0. What are the conditions…

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Q: Product Sum of the Equations Solution of the Roots Roots 2x2 + 6x = 4x + 7 %3D 2x2 + 6x – 4x - 7 = 0…

A: We can answer the required answers as below.

Q: Find the three roots of x3 - 4x + 1 = 0 using Newton-Raphson’s method.

A: Given the equation x3-4x+1=0 Now, using Newton-Raphson’s method  fx=x3-4x+1 f'x=3x2-4, x0=0 1st…

Q: 5. Using Newton's method, determine all three real roots of the equation x- 7x + 7x + 1 = 0.

A: Here we need to find out the roots of the given equation using Newton Raphson method. The entire…

Q: Solve the equation by extracting the square roots. List both the exact solution and its…

A: given equation : (4x+7)2=44 4x+7=44   or 4x+7=-44

Q: 14. Given that y = x E R, x # -2. find the set of values of x for which y is real. X+2 Given that…

A: 14) Given: y=(x-2)(x-1)x+2,x≠-2 So, the function is defined for all x and the function is defined…

Q: 12 find the general solution or particular solution. identify wether the roots are distinct,…

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Q: (a) Solve e = 5-12i. (b) Solve sinz = 10. (c) Express Ln(5-12i) in rectangular form.

A: As per the guidelines, I am supposed to solve 3 questions only. Kindly repost the other separately.…

Q: p(x) =1-2x 13. Lead coefficient 14. Degree 15. Classification 16. Number of roots

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Q: p(x) =1-2x 13. Lead coefficient 14. Degree 15. Classification 16. Number of roots q(x) = 3x - 4x +x…

A: Topic:- polynomial

Q: Using Cardano Formula  find solutions to equation x3 -3x + 2 = 0. The divide by x - c to find any…

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Q: Roots of a cubic Show that the equation x3 - 15x + 1 = 0 has three solutions in the interval 3-4,…

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Q: Calculate 23 – 8i lim 2-2i z+ 2i

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Q: Solve (x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Degree 5, with 1 double root and Degree 7, with 2 double roots and x→-00, f(x) → 00 x 00, f (x) →-00…

A: The end behaviour of a curve is the value the curve attains when the value of the variable reaches ∞…

Q: 19. Leading coefficient: -1; roots: 1,1 + V | 20. Leading coefficient: 2; roots: 4i,–4i

A: the objective is to find the polynomial

Q: 3) Using De Moivre's theorem or otherwise find the six roots of the equation z°+1 0 giving your…

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Q: tan2 x-3=0 Solve the equation for solutions in the interval [0,2pie)

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Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: (a) Rewrite ta+ßi using Euler's Formula. (b) Construct an example of a Cauchy-Euler equation whose…

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Q: solve completely: 2x4+x3-9x2+16x=6 The answers are x= -3, x=0.5, x=1+i, x=1-i  I understand how you…

A: Solve the given equation:

Q: 2 Degree 4; zeros –1, 1, V2; integer coefficients and constant term 6

A: We have to find the polynomial

Q: Applying the quadratic formula: Exact answers Use the guadratic formula to solve for x. 3x-9x+4=0…

A: Proceed as shown below...

Q: 12 10 zeros: solutions: roots: x-intercepts: factors: f(x) =

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Q: 1 X = -3 is one of the roots of the equation given by kx² + 3x – 9 = 0 1.1 Determine the value of k.…

A: According to the guidelines we are supposed to answer only one question, the other questions can be…

Q: UESTION 7 The quadratic equation x2 + k + 3 = kx, where k is a constant, has two equal roots. Find…

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Q: 2. 2x - 7x2 - 16 = 0 a. Good guesses: b. # of positive roots: c. # of negative roots: d. # of…

A: Since you have asked a question with multiple sub parts we will solve the first three sub parts for…

Q: 10. Find all solutions (both real and complex) to the following equation, give your answer in exact…

A: The given problem is to find the complex solutions for the given equation. Given equation x4=1-√3 i.