a. By eliminating y from the equations y = 2 4x 3x 2 + xy +
Question:
a. By eliminating y from the equations
y = 2 − 4x
3x2 + xy + 11 = 0
show that x2 − 2x – 11 = 0.
b. Hence, or otherwise, solve the simultaneous equations
y = 2 − 4x
3x2 + xy + 11 = 0
giving your answers in the form a ± b√3, where a and b are integers.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (3 reviews)
a To eliminate y from the equations we substitute the value of y from the first equation into the se...View the full answer
Answered By
Ma Kristhia Mae Fuerte
I have extensive tutoring experience, having worked as a private tutor for over three years. I have tutored students from different academic levels, including high school, undergraduate, and graduate levels. My tutoring experience has taught me to be patient, attentive to student needs, and effective in communicating difficult concepts in simple terms.
I have a strong background in statistics, probability theory, data analysis, and data visualization. I am proficient in using statistical software such as R, Python, and SPSS, which are commonly used in academic research and data analysis. Additionally, I have excellent communication and interpersonal skills, which enable me to establish rapport with students, understand their learning styles, and adapt my teaching approach to meet their needs.
I am passionate about teaching and helping students achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
a. By eliminating y from the equations x + y = 2 x 2 + xy y 2 = 1 show that x 2 6x + 3 = 0. b. Hence, or otherwise solve the simultaneous equations x + y = 2 x 2 + xy y 2 = 1 giving x and y in the...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family. The Incisors own a rental beach house in Hawaii. The beach house was rented for the full year during 2012...
-
On January 1, 2011, Devco acquired cum div. all the shares of Brooke, at which date the equity and liability sections of Brookes statement of financial position showed the following balances: Share...
-
IDX Tech is looking to expand its investment in advanced security systems. The project will be financed with equity. You are trying to assess the value of the investment, and must estimate its cost...
-
9. Sales for a speaker system have been growing at the rate: f'(t) = 2000(3 - 2e-t) systems/yr where t is the number of years they have been on the market. How many systems where sold in the 1st 5...
-
The following purchase related transactions for Axiom, Inc., occurred during the month of February. Requirement 1. Journalize the transactions for Axiom, Inc. Omit explanations. Feb 3 Purchased...
-
A major airline manufacturer was found to be in violation of FAA safety rules and was forced to install additional safety devices in each of its planes within six months. The airline company projects...
-
Zunooj Pvt. Ltd, is a new small manufacturing firm of formals and casuals wears. Product range includes, shirts, T-Shirts (Full & Half sleeves), trousers, jeans etc. As it is a newly introduced firm,...
-
Using Kirchhoff's rules, (a) Find the current in each resistor shown in figure and (b) Find the potential difference between points c andf. 4.00 k. R3 80.0 V 60.0 V 70.0 V R2 3.00 kn 2.00 kn R1
-
Find the coordinates of the points at which the line with equation y = x 4 intersects the curve with equation y 2 = 2x 2 17.
-
3x + ky = 8 x 2ky = 5 are simultaneous equations where k is a constant. a. Show that x = 3. b. Given that y = 1/2 determine the value of k.
-
Give an approximate range of wavelengths for each type of electromagnetic radiation and summarize the characteristics and/or the uses of each. a. Gamma rays b. X-rays c. Ultraviolet radiation d....
-
What are the four functions of management? Do all sport managers perform all four functions?
-
What are the three types of managers? How do they differ?
-
The accounts payable department receives the purchase order form to accomplish all of the following except a. Compare invoice price to purchase order price. b. Ensure that the purchase had been...
-
What are the three management roles? Do all sport managers perform all three roles?
-
During the review of a small-business clients internal controls, the auditor discovered that the accounts receivable clerk approves credit memos and has access to cash. Which of the following...
-
Most exclusions exist for one of two reasons. What are those reasons? Give examples of exclusions that exist for each.
-
The water in tank A is at 270 F with quality of 10% and mass 1 lbm. It is connected to a piston/cylinder holding constant pressure of 40 psia initially with 1 lbm water at 700 F. The valve is opened,...
-
a. By writing 3 as 2 + , show that cos 3 4 cos 3 3 cos . b. Hence, or otherwise, for 0 < < , solve 6 cos 8 cos 3 + 1 = 0 giving your answer in terms of .
-
Given that sin x (cos y + 2 sin y) = cos x (2 cos y sin y), find the value of tan (x + y).
-
a. Use the identity sin 2 A + cos 2 A 1 to show that sin4 A + cos 4 A 1/2 (2 sin 2 2A) b. Deduce that sin 4 A + cos 4 A 1/4 (3 + cos 4A). c. Hence solve 8 sin 4 + 8 cos 4 = 7, for 0 < < .
-
Assuming the average industry standard WACC is around 6.256%. Comment on PTGC Ltd in relations to attracting new investors and lenders. What recommendation would you give to PTGC Ltd to improve their...
-
The current risk-free rate is 2 percent and the market risk premium is 3 percent. You are trying to value ABC company and it has an equity beta of 0.8. The company earned $3.50 per share in the year...
-
Based on the research proposal: Fayetteville Animal Protection Society (FAPS) - https://www.fapspet.org/ Step 1: How would you choose to interview them? in person, on Zoom, over the phone, via email...
Study smarter with the SolutionInn App