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 = 7

x² - y = 5

If more than one solution need both

Nov 16th, 2015

hello

x² + y² = 7

x² - y = 5


take second equation, x² - y = 5

                                    x² = 5+y


substitite x² = 5+y in  x² + y² = 7

                                   5+y + y² = 7

                                  y²+y - 2=0

                                  y² -y+2y-2 = 0

                                 y(y-1) +2 (y-1) =0

                                 (y-1) = 0   or y+2 = 0

                                   y=1  or  y = -2..................................ANSWER


when y = 1 ,  x² - y = 5

                     x² -1 = 5

                    x² = 6

                     x = √6.....................................ANSWER

when 

y = -2 ,  x² - y = 5

              x² --2 = 5

               x²+2 =5

             x² = 3

               x = √3.....................................ANSWER


ANSWER IS

x = √6  or x = √3

 y=1  or  y = -2

  



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

could there be a third answer?

Nov 16th, 2015

i dont think so,only two answers will be there

x=√6 and  y=1 or

x=√3  and y= -2


Nov 16th, 2015


this is what I am being told

Nov 16th, 2015
img_0275.jpg
img_0289.jpg

when y = 1 ,  x² - y = 5

                     x² -1 = 5

                   x² = 6

                     x = +/-√6.

                  x= √6 or - √6


when 

y = -2 ,  x² - y = 5

              x² --2 = 5

               x²+2 =5

             x² = 3

               x = +/-√3

             x=  √3 or - √3


ANSWER

so you can also write the solutions as

x= √6 and y = 1

x= - √6 and y = 1

x= √3 and y = -2

x=  - √3 and y = -2

Nov 16th, 2015

hi..any doubts?

Nov 16th, 2015

no everything is great

Nov 16th, 2015

if you have any doubts in this question or any new questions,please assign me as your tutor

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
May 24th, 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