Give all solutions of the nonlinear system of equations, including those with nonreal complex components x2...

Question

Question

math algebra

Answer 1

Answer #1

2 + y = 113

x - y = 1

= r=1+y Substitute this equation in first eqaution

(1+y)2 + y2 = 113

2y +1+2y2 = 113

2y2 + 2y - 112 = 0

y2 + y - 56 = 0

y2 + 8y – 7y - 56 = 0

(y +8)(y-7) = 0

y=7 y = -8

r = 1 + y = 8 = 1+y = -7

Hence (8 , 7) and (-7 , -8 ) is the answer which is third option

Answer 2

Similar Homework Help Questions

Give all solutions of the nonlinear system of equations, including those with nonreal complex components 7x² + 7y² = 91

Give all solutions of the nonlinear system of equations, including those with nonreal complex components 7x² + 7y² = 91 35x² + 35y2 = 546 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is { _______ } B. There are infinitely many solutions C. The solution is the empty set
Problem 5 (40 pts). Given the system of nonlinear differential equations Se=y+ 2(x2 + y2 -...

Problem 5 (40 pts). Given the system of nonlinear differential equations Se=y+ 2(x2 + y2 - 1) y'= -r + y(x² + y2 - 1) (a) Find its critical point(s). (b) Linearize the system about each critical point. (c) Classify each critical point by discussing the zeros of the corresponding characteristic equa- tion. (d) Solve the linearized systems of differential equations about the critical point(s).
Use the elimination method to find all solutions of the system: x2 + y2 = 8...

Use the elimination method to find all solutions of the system: x2 + y2 = 8 1 x2 - y2 = 1 The four solutions of the system are: (the one with x < 0, y < 0 is) x = (the one with x < 0, y > 0 is) X = y = (the one with x > 0, y < 0 is) x = y = (the one with x > 0, y > O is) c...

Using the "Newton's Method" Write a MATLAB script to solve for the following nonlinear system of...

Using the "Newton's Method" Write a MATLAB script to solve for the following nonlinear system of equations: x2 + y2 + z2 = 3 x2 + y2 - z = 1 x + y + z =3 using the initial guess (x,y,z) = (1,0,1), tolerance tol = 1e-7, and maximum number of iterations maxiter = 20.
) -12 points SPreCalc7 10.8.005. Use the substitution method to find all solutions of the system...

) -12 points SPreCalc7 10.8.005. Use the substitution method to find all solutions of the system of equations. x2 + y2 72 (smaller x-value) (x, y) Need Heip? Rad Watch t Submit Answer Save ProgressPractice Another Version 44 points 1 Previous Answers SPreCalc7 10 8.011 (larger x-value) Watch It Use the elimination method to find all solutions of the system of equations. (Ord 3x2 (x, y)-(1-2-2 x, y)2.2 x, y)-2.-2 x, y)- 2.2 to
5. The set of four first-order differential equations = 42 92 = -59, -292 +8q; 93...

5. The set of four first-order differential equations = 42 92 = -59, -292 +8q; 93 = 94 94 = 69 -1693-394 +10u can be presented in matrix form q=Aq + Bu Show detailed form, including all components, of all vectors and matrices in the above equation. 6. Are the equations below linear or nonlinear? 5ý + 3y + 2 y = f(t) Linear or Nonlinear? 5j+3y+2y = f(t) Linear or Nonlinear? 5y + 3 yy + 2y = f(t)...

Problem 2- System Classification: Linearity (20pts) Circle all nonlinear terms (if any) in the following differential equations: (assume variables on left are outputs, at right are inputs) y'(t)...

Problem 2- System Classification: Linearity (20pts) Circle all nonlinear terms (if any) in the following differential equations: (assume variables on left are outputs, at right are inputs) y'(t) *,4x, +4x, cos(x2) e. Problem 2- System Classification: Linearity (20pts) Circle all nonlinear terms (if any) in the following differential equations: (assume variables on left are outputs, at right are inputs) y'(t) *,4x, +4x, cos(x2) e.
2: (a) Find all solutions (x, y) = Z2 to Pell's Equation x2 – 29 y2...

2: (a) Find all solutions (x, y) = Z2 to Pell's Equation x2 – 29 y2 = 1. (b) Find all solutions (x, y) € Z to the Pell-like equation x2 - 21 y2 = 4.
(Please give all the solutions and steps, if you give the answer by picture please post...

(Please give all the solutions and steps, if you give the answer by picture please post a clear picture. Please don't answer the question if you can't do all the questions, THANKS). 0.1 22. The first zero-crossing bandwidth of the signal shown above is a)5Hz b) 10 Hz c) 15 Hz d) 20 Hz e) none above 23. The Hilbert transform of the Hilbert transform of x(t) is a) x(t)(t) b) -x(t) c)jx(t d)-jx(t) e) none above 24. A system...

In each of Problems 5 through 18: (a) Determine all critical points of the given system of equati...

#10 all parts In each of Problems 5 through 18: (a) Determine all critical points of the given system of equations. (b) Find the corresponding linear system near each critical point. (c) Find the eigenvalues of each linear system. What conclusions can you then draw about the nonlinear system? (d) Draw a phase portrait of the nonlinear system to confirm your conclusions or to extend them in those cases where the linear system does not provide definite information about the...