If x 2 bx c 0 has roots a and A prove that a If 3, then b 2 16 3c b if , then b 2 4(c 1) ...

Solution a If 3 then b2 163c b if then b2 4c 1 If x2 bx c0 has roots a and ...

If x 2 + bx + c = 0 has roots a and A prove that: a.

Question:

If x² + bx + c = 0 has roots a and A prove that:

a. If α = 3β, then b² = 16/3c

b. if α = β, then b² = 4(c + 1).

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS & A Level Further Mathematics Coursebook

ISBN: 9781108403375

1st Edition

Authors: Lee Mckelvey, Martin Crozier

See More Books

Question Posted: Sep 23, 2021 02:15 AM

See More Questions

For two arbitrary events A and B, prove that Pr(A) = Pr(A B) + Pr(A Bc).
For independent events A and B, prove that (a) A and Bc are independent. (b) Ac and B are independent. (c) Ac and Bc are independent.
Prove that if c 0 is any nonzero scalar and A is an invertible matrix, then the scalar product matrix c A is invertible, and (CA)-= -A-1
Carbon has the electron configuration 1s 2s2p. The two unpaired electrons in the n = 2 level suggests that carbon will form two bonds. We know, however, that carbon forms four bonds in most compounds...
Solve the focus problem at the beginning of this chapter. Discuss.
Salt & Pepper, Inc., had retained earnings at the beginning of the current year of $460,000. During the year the company earned net income of $250,000 and declared dividends as follows: $1 per share...
Knapp Inc.s financial statements are provided below. Using this information, compute the firms free cash flows and the financing cash flows, and interpret your results. We should be subtracting...
Multiple Choice. Choose the best answer. 1. Which of the following activities would always indicate that an auditors independence has been impaired? a. Providing advice on establishing an internal...
You are planning a 30-day vacation in Malaysia in one year's time. The present charge for a luxury suite plus meals is RM760.00 per day and the RM is presently trading at RM 3.8000/$. Hence the $...
Powell Warehouse distributes hardback books to retail stores and extends credit terms of 2/10, n/30 to all of its customers. During the month of June, the following merchandising transactions...
Given that 2x 3 + 5x 2 + 1 = 0 has roots , , , and that S n = n + n + n , find the values of S 2 and S 3 .
The quadratic equation x 2 - 4.x + 9 = 0 has roots , . Find the quadratic that has roots 1/, 1/.
Mayfair Limited currently subsidises cafeteria services for its 200 employees. Mayfair is in the process of reviewing the cafeteria services as cost-cutting measures are needed throughout the...
I must make a storyboard of two rival companies such as sony and nintedo thinking of an announcement by Sony that the Playstation makes to surpass Nintendo that makes nintendo switch consoles for...
The specifications for machine parts are given with tolerance limits that describe a range of measurements for which the part is acceptable. Here x represents the length of a machine part, in...
The role of the manager in a global enterprise includes the ability to adapt to the political, legal, and cultural nuances of a global environment. As the global enterprise environment continues to...
1. Consider the incomplete combustion reaction that you observed with the butane lighter: C4H10(9) + 5 O2(g) 2 CO2(g) +5 H2O(g) + CO(g) + C(s) Assume that the butane is a gas at the time of...
XYZ Corporation, a multinational manufacturing company, is considering a significant investment in a new production facility. The capital budget for this project involves substantial financial...
Light of wavelength 490 nm is incident on a narrow slit. The diffraction pattern is viewed on a screen 3.20 m from the slit. The distance on the screen between the central maximum and the third...
For each of the following reactions, express the equilibrium constant: a) H20 (I) H2 (g) + 02 (g) Ke = 1.0x107 b) Fe2 (g) 2F (g) Ke= 4.9 x 10-21 c) C (s) + O2 (g) d) H2 (g) + C2H4 (g) C2H6 (g) Ke =...
Consider the following substitution reaction: (a) Determine whether this reaction proceeds via an S N 1 or S N 2 process. (b) Draw the mechanism of this reaction. (c) What is the rate equation of...
Propose a mechanism for each of the following transformations: a. b. H;0* Br HBr
Using any compounds that contain two carbon atoms or fewer, show a way to prepare a racemic mixture of (2R, 3R)- 2,3-dihydroxypentane and (2S,3S)-2,3-dihydroxypentane.
4. Consider a 30-year U.S. Treasury bond paying 4.5 percent coupon, and selling for $1010. What is the yield to maturity? Make sure to show your work. 5. A 30-year U.S. corporate bond with a 6...
A project's base case or most likely NPV is $44,000, and assume its probability of occurrence is 50%. Assume the best-case scenario NPV is 65% higher than the base case and assume the worst scenario...
How does the central bank imply Bank Rate fluctuations as the monetary policy mechanism? Explain.

If x 2 + bx + c = 0 has roots a and A prove that: a.

Question:

Step by Step Answer:

Solution a If 3 then b2 163c b if then b2 4c 1 If x2 bx c0 has roots a and ...View the full answer

Cambridge International AS & A Level Further Mathematics Coursebook

Students also viewed these Sciences questions