Question: 2. [10 pts] Consider Pell's equation associated to n = 2: x2 - 2y? = 1. One of the solutions is N(1, 0) (a) Using

2. [10 pts] Consider Pell's equation associated to n = 2: x2 - 2y? = 1. One of the solutions is N(1, 0) (a) Using computer software, plot the curve H defined by the above equation. (b) Find two solutions where x, y > 0 by trial and error. Call them A(x1, y1) and B(x2, y2). (c) Find the equation of the line AB. (d) Find the equation of the line parallel to AB and passing through N. Call this line L. (e) Find the other point of intersection of L and H, call it X (x3, y3). What do you observe? Bonus Express the coordinates of X in term of X1, y1, 2, y2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Name Student ID Final MAT 22B, Friday August 4, 2017 Instructions: This exam is closed notes, closed books, no calculators and no electronic devices of any kind. There are five problems worth 35...

MA 261 PRACTICE PROBLEMS 1. If the line ` has symmetric equations y x1 z+2 2 = 3 = 7 , nd a vector equation for the line `0 that contains the point (2; 1; 3) and is parallel to `. A. ~ = (1 + 2t)~...

8 Rational Equations Algebra Review Express each sum as a single fraction by finding the least common denominator. 1. 3 I 2. 3. 1 3 I+1 - +5 2 4 z - 9 4. I+3 x2 + 8x + 15 22Practice: Identifying...

please solve.. II. Measurement of force versus charge 1. Set up the Coulomb balance as described in EMI - Equipment setup. 2. Dry the environment of the apparatus using a hair blower. 3. With the...

** You can use EXCEL or any other software. ** You need to include your printout in your submissions. The layout and format of the paper should include the following sections: Title page, Abstract,...

Satellite Data Retrieval, Reference Frames, Numerical and Analytical Orbital Propagation SSD Individual Assignment RMIT University Figure 1: Example errors between a ground truth ephemeris and...

,. Hi expert solve this \fConsider the signal f[k], with k = 1, ..., N, and signal model Va,be [k] = asin(wok) + bcos(wok) + c with a, b, and c constants to be determined and all = . Consider the...

Portray in words what transforms you would have to make to your execution to some degree (a) to accomplish this and remark on the benefits and detriments of this thought.You are approached to compose...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Section 9.1 Reading Assignment: Solutions, Slope Fields, and Euler's Method Answer Only Exercise 1, 2, and 3 by using a screenshot provided Calculus Pearson textbook. Make sure you read these three...

What nonprofit business could you start in your commuity? Answer the following questions to describe it: a. What is the name of your nonprofit? b. What problem(s) are you are trying to solve? c....

The probability that a corporation makes charitable contributions is .72. Two corporations are selected at random, and it is noted whether or not they make charitable contributions. a. Draw a tree...

7 Write as a product of prime numbers a 70 b 70 c 70

Create a C# application named SalesTransactionDemo that declares several SalesTransaction objects and displays their values and their sum. The SalesTransaction class contains the following fields:...