Finding all intersection points between two lines given their equations [on hold]

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Find all the intersection points of $2x^2+y^2=25$ and $x+y=2$.




geometry




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put on hold as off-topic by José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u, Michael Hoppe Aug 3 at 10:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u
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    Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
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  • You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
    – gimusi
    Aug 3 at 9:34














up vote
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Find all the intersection points of $2x^2+y^2=25$ and $x+y=2$.




geometry




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put on hold as off-topic by José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u, Michael Hoppe Aug 3 at 10:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u
If this question can be reworded to fit the rules in the help center, please edit the question.








  • 1




    Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 3 at 9:32










  • You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
    – gimusi
    Aug 3 at 9:34












up vote
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up vote
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Find all the intersection points of $2x^2+y^2=25$ and $x+y=2$.




geometry




share|cite|improve this question













Find all the intersection points of $2x^2+y^2=25$ and $x+y=2$.





geometry





share|cite|improve this question












share|cite|improve this question




share|cite|improve this question








edited Aug 3 at 9:33









gimusi

63.7k73480




63.7k73480









asked Aug 3 at 9:30









george Ndegwa

6




6




put on hold as off-topic by José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u, Michael Hoppe Aug 3 at 10:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u
If this question can be reworded to fit the rules in the help center, please edit the question.




put on hold as off-topic by José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u, Michael Hoppe Aug 3 at 10:16


This question appears to be off-topic. The users who voted to close gave this specific reason:


  • "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – José Carlos Santos, Siong Thye Goh, Shailesh, Delta-u
If this question can be reworded to fit the rules in the help center, please edit the question.







  • 1




    Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 3 at 9:32










  • You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
    – gimusi
    Aug 3 at 9:34












  • 1




    Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
    – José Carlos Santos
    Aug 3 at 9:32










  • You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
    – gimusi
    Aug 3 at 9:34







1




1




Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 3 at 9:32




Welcome to MSE. It will be more likely that you will get an answer if you show us that you made an effort. This should be added to the question rather than in the comments.
– José Carlos Santos
Aug 3 at 9:32












You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
– gimusi
Aug 3 at 9:34




You need to solve a qudratic equation. Are you aware about it? Follow the given hint and show your work here.
– gimusi
Aug 3 at 9:34










1 Answer
1






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HINT



Let consider the system



  • $2x^2+y^2=25$ (ellipse)

  • $x+y=2$ (straight line)

and from the line equation



  • $y=2-x$

then plug in the first equation and solve the quadratic to find the $x$ value(s).






share|cite|improve this answer




























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    0
    down vote













    HINT



    Let consider the system



    • $2x^2+y^2=25$ (ellipse)

    • $x+y=2$ (straight line)

    and from the line equation



    • $y=2-x$

    then plug in the first equation and solve the quadratic to find the $x$ value(s).






    share|cite|improve this answer

























      up vote
      0
      down vote













      HINT



      Let consider the system



      • $2x^2+y^2=25$ (ellipse)

      • $x+y=2$ (straight line)

      and from the line equation



      • $y=2-x$

      then plug in the first equation and solve the quadratic to find the $x$ value(s).






      share|cite|improve this answer























        up vote
        0
        down vote










        up vote
        0
        down vote









        HINT



        Let consider the system



        • $2x^2+y^2=25$ (ellipse)

        • $x+y=2$ (straight line)

        and from the line equation



        • $y=2-x$

        then plug in the first equation and solve the quadratic to find the $x$ value(s).






        share|cite|improve this answer













        HINT



        Let consider the system



        • $2x^2+y^2=25$ (ellipse)

        • $x+y=2$ (straight line)

        and from the line equation



        • $y=2-x$

        then plug in the first equation and solve the quadratic to find the $x$ value(s).







        share|cite|improve this answer













        share|cite|improve this answer



        share|cite|improve this answer











        answered Aug 3 at 9:33









        gimusi

        63.7k73480




        63.7k73480












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