The cubic equation x 3 - x + 3 = 0 has roots , , . a.
Question:
The cubic equation x3 - x + 3 = 0 has roots α, β, γ.
a. Using the relation Sn, = αn + βn + γn, or otherwise, find the value of S4.
b. By considering S1 and S4, determine the value of α3(β + γ) + β3(α + γ) + γ3(α + β).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 77% (9 reviews)
a The cubic equation x3 x 3 0 can be factored as xxx 0 ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS & A Level Further Mathematics Coursebook
ISBN: 9781108403375
1st Edition
Authors: Lee Mckelvey, Martin Crozier
Question Posted:
Students also viewed these Sciences questions
-
The cubic equation x 3 - x + 4 = 0 has roots , , . Find the cubic equation that has roots 2 , 2 , 2 . Hence, or otherwise, determine the values of S 6 , S 8 and S 10 .
-
The cubic equation x 3 - x + 7 = 0 has roots , , . Find the values of and 2 .
-
The cubic equation x 3 5x 2 + 1 = 0 has roots , , . a. Find the values of S 1 and S 3 . Another cubic equation has roots 2 , 2 , 2 . b. Find the cubic equation with these roots. c. Hence, or...
-
Aussie Infonautics, Inc., produces handheld Windows CE¢-compatible organizers. Aussie Infonautics markets three different handheld models. PalmPro is a soupedup version for the executive on the...
-
Do larger universities tend to have more property crime? University crime statistics are affected by a variety of factors. The surrounding community, accessibility given to outside visitors, and many...
-
A manager of Cascade Mutual Funds is contemplating acquiring servers to operate its website. The servers will cost $660,000 cash and will have zero terminal salvage value. The recovery period and...
-
Assume that you buy a new car for $24,000, and that you finance $20,000 of the purchase price with a five-year (i.e., 60 monthly payments) loan, for which you are quoted an APR of 7.52 percent. What...
-
Overnight Laundry is considering the purchase of a new pressing machine that would cost $100,000 and would produce incremental cash flows of $25,000 annually for 6 years. The machine has a terminal...
-
Which equation of a circle will have a graph that lies entirely in the first quadrant? (x+4)+(y+5) = 25 O(x-5)+(y-4) = 25 (x-4)+(y-5) = 9 O(x+4)+(y+5) = 9
-
XYZ Ltd. is a health foods distributor and retailer initiated a customer loyalty program that offers member points to redeem a bottle of its X-Premium wine. The premium wine costs the company $30 per...
-
The polynomial 3x 4 + 2x 3 + 7x 2 + 4 = 0 has roots , , , where S n = n + n + n + n . a. Find the values of S 1 and S 2 . b. Find the values of S 3 and S 4 . c. Are there any complex roots? Give...
-
The quadratic equation x 2 + 2x - 6 = 0 has roots and . Find the values of ( ) 2 and 1/ 2 + 1/ 2 .
-
An air compressor takes in air at 100 kPa, 17C and delivers it at 1 MPa, 600 K to a constant-pressure cooler, which it exits at 300 K. Find the specific compressor work and the specific heat...
-
Kevin, Kimoko, Maggie, and Ashley have a partnership that calls for the following allocation of income: Kevin and Kimoko are the receive lump sum salary payments of $50,000 each, if there's a profit...
-
Find the indicated derivative using implicit differentiation. dy dx = 2x - y = 3; dy dx Need Help? Read It
-
Explain Dyadic Relationship. Explain the Vertical dyadic linkage (VDL) theory. Who created it? How does this theory beneficial or detrimental to an employee to manager relationship? What is an...
-
Two blocks, joined by a string, have masses of 6.0 and 9.0 kg. They rest on a frictionless horizontal surface. A 2nd string, attached only to the 9-kg block, has horizontal force = 30 N applied to...
-
Suppose a student has 4 ties and 2 shirts and there is one pink tie and one pink shirt. Consider that the student is indifferent among the shirts and ties. That is, any shirt or tie is equally...
-
Suppose that shortly after graduating from college, you decide to start your own business. Will you be likely to organize the business as a sole proprietorship, a partnership, or a corporation?...
-
Which, if any, of the dichloroethene molecules drawn in Data Table II (3.) (4.) and (5.) are geometric isomers? A. B. C. D. cis-1,2-dichloroethene and trans-1,2-dichloroethene...
-
(R)-Limonene is found in many citrus fruits, including oranges and lemons: Draw the structures and identify the relationship of the two products obtained when (R)-limonene is treated with excess...
-
Consider the structures of cis-decalin and trans-decalin: (a) Which of these compounds would you expect to be more stable? (b) One of these two compounds is incapable of ring flipping. Identify it...
-
Atorvastatin is sold under the trade name Lipitor and is used for lowering cholesterol. Annual global sales of this compound exceed $13 billion. Assign a configuration to each chirality center in...
-
How can direct supervision create behavioral control? Select a Choice Below current question choices OptionA By measuring processes involved leading to outcomes OptionB By measuring actual outcomes...
-
Which of the following is a true statement? Multiple Choice Fees for investment advice are not deductible. Unreimbursed employee business expenses are not deductible. Fees for tax preparation are not...
-
Ignoring taxes, which of the following situations will cause comprehensive income to decrease? A. The amortization of an actuarial pension loss. B. An unrealized gain on an available-for-sale...
Study smarter with the SolutionInn App