The cubic equation x 3 - x 2 - 3x - 10 = 0 has roots ,
Question:
The cubic equation x3 - x2 - 3x - 10 = 0 has roots α, β, γ.
i. Let u = -α + β + γ. Show that u + 2α = 1, and hence find a cubic equation having roots -α + β + γ, α -β + y, α + β – γ.
ii. State the value of αβγ and hence find a cubic equation having roots 1/βγ, 1/γα, 1/αβ.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (6 reviews)
Answer i Let u Then we have Now let us divide the equation by u to ...View the full answer
Answered By
Enock Oduor
I am a chemist by profession, i coach high school students with their homework, i also do more research during my free time, i attend educational and science fair seminars where i meet students and do some projects.
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 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...
-
The cubic equation x 3 + 3x 2 - 1 = 0 has roots , , . Show that the cubic equation with roots + 2/, + 2/, + 2/ is y 3 3y 2 9y + 3 = 0. Hence, determine the values of: a. ( + 2)( + 2)( + 2)/ b. /...
-
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 .
-
Day and Night formed an accounting partnership in 2014. Capital transactions for Day and Night during 2014 are as follows: Partnership net income for the year ended December 31, 2014; is $68,400...
-
Consider the following Minitab display of two data sets: (a) What are the respective means? the respective ranges? (b) Which data set seems more symmetrical? Why? (c) Compare the interquartile ranges...
-
The following information is excerpted from the financial statements in a recent annual report of Esper Corporation. (Dollar figures and shares of stock are in thousands.) Extraordinary loss on...
-
Based on the information for Norwegian Bristling Company for the year ended December 31, 2018: a. How much is the firms net working capital and what is the debt ratio? b. Complete a statement of cash...
-
The following information is available for Taliaferro Corp. for 2014. Cash used to purchase treasury stock...............$ 48,100 Cash dividends paid......................21,800 Cash paid for...
-
(a) Discuss four benefits that would accrue to a foreign investor investing in the international bonds and (b) Highlight four conditions that must be met by a subsidiary before it could be considered...
-
Alwar Brothers is a small, family-owned business that produces animal feed for dairy farms. The administrative offices and manufacturing plant of Alwar share the same building. Financial records...
-
If a + b = -3 and 2 + 2 = 7, find the value of ab and, hence, write down a quadratic equation with roots and .
-
Given that 3x 2 - 2x + 9 = 0 has roots , , find the quadratic equation with roots + 1/, + 1/.
-
The blueprints for a one-story condominium project indicate that it will use high-performance engineered wood joists. The specifications, however, indicate that the joists will consist of cheaper,...
-
If a systems memory is 32GB (1 GB = 230 B) and each memory location stores 1B. How many address bits are needed if we need to address each byte?
-
Total assets S The shareholders' equity of Sandhill Corporation is $117,600. Its total liabilities are $53,900. What is the amount of Sandhill's total assets?
-
The following funds were among those held by State College at December 31, 20X1: Principal specified by the donor as nonexpendable . . . . . . . . . . . . . $500,000 Principal expendable after the...
-
Which one offers the best financial aid for a student? Consider using the award analyzer to compare the offers. How did you feel reviewing these award letters? Were they confusing to you? Why or why...
-
Betty's BBQ reported sales of $705,000 and net income of $25,000. Betty's also reported ending total assets of $494,000 and beginning total assets of $387,000. Required: Calculate the return on...
-
The central bright fringe in a single-slit diffraction pattern from light of wavelength 476 nm is 2.0 cm wide on a screen that is 1.05 m from the slit. (a) How wide is the slit? (b) How wide are the...
-
Maria Castigliani is head of the purchasing department of Ambrosiana Merceti, a medium-sized construction company. One morning she walked into the office and said, The main problem in this office is...
-
Ramelteon is a hypnotic agent used in the treatment of insomnia: a) What is the molecular formula of this compound? b) How many sp 3 -hybridized carbon atoms are present in this structure? c) How...
-
For each compound below, identify the most acidic proton in the compound: (a) (b) (c) (d) (e) (f) (g) (h) -NH2 -
-
The following reaction is observed to be regioselective. Draw a mechanism for the reaction, and explain the source of regioselectivity in this case: Br HE.
-
What are the solution ratios here from F-Y ? LAKE OF EGYPT MARINA, INC. Balance Sheet as of December 31, 2018 and 2017 (in millions of dollars) 2018 2017 2018 2017 Assets Current assets: Liabilities...
-
Hi, could someone please help me with this. I need the letter to be nearly two hundred words. This is the assignment below: You are an architect who is working for Dream Homes Company in Toronto....
-
Discussion Board Post - Read the speech example from the textbook below. Then answer the questions in blood at the bottom. "As a veterinarian and owner of a small-animal practice, you work closely...
Study smarter with the SolutionInn App