Given that x 2 + 10x + 36 (x + a) 2 + b, where a and
Question:
Given that x2 + 10x + 36 (x + a)2 + b, where a and b are constants,
a. Find the value of a and the value of b.
b. Hence show that the equation x2 + 10x + 36 = 0 has no real roots. The equation x2 + 10x + k = 0 has equal roots.
c. Find the value of k.
d. For this value of k, sketch the graph of y = x2 + 10x + k, showing the coordinates of any points at which the graph meets the coordinate axes.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (5 reviews)
a To find the values of a and b we can expand the given expression x2 10x 36x a2 b x2 10x 36x2 2ax a...View the full answer
Answered By
Akash M Rathod
I have been utilized by educators and students alike to provide individualized assistance with everything from grammar and vocabulary to complex problem-solving in various academic subjects. I can provide explanations, examples, and practice exercises tailored to each student's individual needs, helping them to grasp difficult concepts and improve their skills.
My tutoring sessions are interactive and engaging, utilizing a variety of tools and resources to keep learners motivated and focused. Whether a student needs help with homework, test preparation, or simply wants to improve their skills in a particular subject area, I am equipped to provide the support and guidance they need to succeed.
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
-
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...
-
Given that x 2 + 2x + 3 (x + a) 2 + b, a. find the value of the constants a and b. b. Sketch the graph of y = x 2 + 2x + 3, indicating clearly the coordinates of any intersections with the coordinate...
-
Describe the catalysts that allowed Adolf Hitler to resurrect the German empire after world war What made him such an effective motivator?
-
Problem 10 The Solow Growth Model is an exogenous model of economic growth that analyzes changes in the level of output in an economy over time as a result of changes in the population growth rate,...
-
Terry Williams sustained physical injuries in an accident involving a vehicle driven by Kellie Meagher. At the time of the accident, Meagher was allegedly using a cellular phone furnished by Cingular...
-
In recent decades, how have poverty and inequality changed in the United States? Discuss how these trends might affect future economic growth.
-
CGI Federal, Inc., is a corporation that provides a number of services to the United States Passport Agency, included the processing of passport application. Passport applicants must submit sensitive...
-
This is the trial balance of Solis Company on September 30. The October transactions were as follows. Oct.5.Received $1,300 in cash from customers for accounts receivable due. 10 Billed customers for...
-
Statement of cash flows-indirect method The comparative balance sheet of Merrick Equipment Co. for December 31, 20Y9 and 20Y8, is as follows: December 31, 20Y9 December 31, 20Y8 Assets Cash Accounts...
-
A VC earns a $100m in carry after delivering a 2.33x Net Return Multiple on their $310m Fund. The Fund has only one profitable exit. a. Roughly how much did this VC distribute to LPs (in $s)? b....
-
a. Sketch the graph of y= 1/x 2 4, showing clearly the coordinates of the points where the curve crosses the coordinate axes and stating the equations of the asymptotes. b. The curve with passes...
-
The function g(x) is defined as g(x) = x 9 7x 6 8x 3 , x. a. Write g(x) in the form x 3 (x 3 + a)(x 3 + b), where a and b are integers. b. Hence find the three roots of g(x).
-
Golden Sales has bought $135,000 in fixed assets on January 1st associated with sales equipment. The residual value of these assets is estimated at $10,000 after they service their 4 year service...
-
1. If greed in some measure seems to be a rather universal characteristic, is it possible channel or direct it to achieve good results or socially acceptable ends? Explain. 2. The poet John Donne...
-
There are a variety of places you can store your saved dollars that can move those dollars to more valued uses for society (i.e. expansion of the factors of production). But it's also in your...
-
Roughly 18bn is forecast to be spent in the UK on advertising in 2017. Much of this will be spent by monopolistically competitive firms or oligopolies seeking to differentiate the products they sell...
-
What are the demand factors leading to higher ticket prices in the airline industry? Explain how they change the prices. What are the supply factors leading to higher ticket prices in the airline...
-
Credit unions are how I manage my money. My parents' money is in a credit union, so that's why I chose one. I inquired as to why they favored credit unions over traditional banks. They claimed it was...
-
A random sample of people who regularly attend movies in St. Johns is selected. Each is asked which of several types of movies is his or her favourite. The answers were categorized according to the...
-
Is it ethical to provide safety training in English to immigrant workers who speak little English, in order to reduce costs?
-
a. Show that f(x) = cos 2x + 6. b. Hence, find the exact value of 0 /4 f(x) dx. f(x) = 5 sin 2 x + 7 cos 2 x
-
a. Use integration by parts to find x cos 4x dx. b. Use your answer to part a to find x 2 sin 4x dx.
-
a. By expanding sin (3x + 2x) and sin (3x 2x) using the double-angle formulae, or otherwise, show that sin 5x + sin x 2 sin 3x cos 2x. b. Hence find sin 3x cos 2xdx
-
What is the yield to maturity on a 3-year, $1,000 discount bond with a current price of $947? Yield to maturity =_______percent. (Round your response to one decimal places.)
-
Which of these has not been proposed as a fix to dwindling Social Security funds? Group of answer choices Invest Social Security funds in the stock market Raise payroll taxes Require more companies...
-
Sunland, Inc., a producer of shower products, is evaluating the profitability of its men's, women's, and children's product lines. According to the information below, the men's category is...
Study smarter with the SolutionInn App