write the solution set of the equation x2+x-2=0 in roster form .please explain it in step by step???
The given equation can be written as
(x-1)(x+2)=0,ie,,x=1,-2
Therefore,the solution set of the given equation can be written in roster form as (1,-2)
Write the equation in the form (x-1)2+(y-k)? = c. Then, if the equation represents a circie, identify the center and radius. If the equation represents the degenerate case, give the solution set. x2 + y2 - 6x-8y+0=0 Part: 0/2 Part 1 of 2 The equation in standard form is The equation represents (Choose one)
Please explain as detailed as possible, thank you! 1. Let S={0, 1, 2, 3, . . . , 150). and let A={x E S | x+100 E S} Write the roster notation of the set A. Also, find the cardinality of the set A. 2. For each natural number n, let An be the interval An (0,2/n) and let Bn be the interval Determine the following: (b) Un1Bn 3. Let the universal set be S = {1, 2, 3, 4,...
EXPLAIN STEP BY STEP In Exercises 13 through 18 determine if the set of vectors S forms a subspace of the given vector space. Give reasons why S either is or is not a subspace. xn) in 13. S is the set of vectors of the form (x1, X2, ..., xn) in R”, with the x; real numbers and x2 = x4. 14. S is the set of vectors of the form (x1, X2, . R”, with the xị real...
1. Use Cramer's rule to solve this system. X + 4z = 2 2x + y -z= 1 X +z=-1 on 910 2. Given the data points (0,), (1,3), (2,5) use the equation y=f(x) = mx +b to find the least square solution for best line fit. a. Evaluate the equation using the data points to obtain four linear equations. b. Write the system in 10a in a matrix form Ax=b. durants bhonebnih 516 10 boer word c. Write the...
Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations below. 4x1 +4x2+8X3 = 16 - 12X1 - 12X2 - 24x3 = - 48 - 6x2 - 6x3 = 18 4x7 +4x2+8X3 = 0 - 12X1 - 12X2 - 24x3 = 0 - 6x2 - 6x3 = 0 X1 Describe the solution set, x = X2 of the first system of equations...
This is a graduate-level question. It's not that easy and basic. Please make sure that your answer is correct before you answer that. Also, please write the answer step by step, especially the part to solve the ordinary differential equation. Thank you so much! 2. Find the -limit set of the solution of the system with the initial condition 2(0) = 10, y(0) = 0. 2. Find the -limit set of the solution of the system with the initial condition...
It is important to understand the difference between an exact solution to an equation and an approximate solution. Find the exact solutions and the approximate solutions to 4 decimal places. 8.x2 - 7x - 6 = 0 Write the solution set using exact solutions. Solve the equation by using any method. 1372 +5=0 The solution set is { 1}. (Separate your answers with commas) (Express the solution set in exact simplest form. Rationalize the denominator if necessary.) Solve the equation...
[H] Consider the differential equation dx 1+x2 (H.1) Find the general solution of the above differential equation. You may leave your answer in implicit form for this part. (H.2) Find the particular solution of the above differential equation satisfying y(0) = - Write your answer in EXPLICIT form [i.e. y = f(x)].
Write the solution set of the given homogeneous system in parametric vector form. 4x1 + 4x2 + 8x3 = 0 8x1-8x2-16x3-0 5x2 + 5x3 = 0 X1 where the solution set is x- X2 X3 x=x3 (Type an integer or simplified fraction for each matrix element.)
Given this pseudocode and problem (as an example), code the continuation algorithm in MATLAB. 1. The nonlinear system fi(x1, x2) = x - xż + 2x2 = 0, $2(x1, x2) = 2x1 + xź – 6= 0 has two solutions, (0.625204094, 2.179355825)' and (2.109511920, -1.334532188)'. Use the Con- tinuation method and Euler's method with N = 2 to approximate the solutions where a. X(0) = (0,0) b. x(0) = (1, 1) c. x(O) = (3,-2) Continuation Algorithm To approximate the...