Need algebra help for solving a system of nonlinear equations

Algebra
Tutor: None Selected Time limit: 1 Day

Solve  the following system of equations

x² + y² = 2

y + 2x = -1

If more than one solution need them also

Nov 16th, 2015

hello


i am typing the answer...please wait

hope you understood..please message if you have any doubts...thank you
Nov 16th, 2015

thank you

Nov 16th, 2015

x² + y² = 2

y + 2x = -1


y + 2x = -1

y= -2x-1


x² + y² = 2

x² + (-2x-1)² = 2

5x² +4x+1 =2

 5x² +4x -1 =0

(x+1)(5x−1)=0

x= -1 or x = 1/5..................................ANSWER


WHEN x =- 1

          y= -2x-1

         y=1................................ANSWER


WHEN x = 1/5

         y= -2x-1

        y = (-2/5) -1

        y= - 7/5............................ANSWER



ANSWER IS

x= -1  and y = 1

x= 1/5  and y = - 7/5



Nov 16th, 2015

Studypool's Notebank makes it easy to buy and sell old notes, study guides, reviews, etc.
Click to visit
The Notebank
...
Nov 16th, 2015
...
Nov 16th, 2015
Mar 28th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer