solving system of equations $2x^2 - 3y = 23; 3y^2 - 8x = 59$ [closed]












-2















I couldn't figure out how to solve this:




$2x^2 - 3y = 23$



$3y^2 - 8x = 59$










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closed as off-topic by John B, user10354138, Saad, KReiser, Chinnapparaj R Dec 1 at 5:24


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." – John B, user10354138, Saad, KReiser, Chinnapparaj R

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  • Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
    – Doug M
    Dec 1 at 0:44
















-2















I couldn't figure out how to solve this:




$2x^2 - 3y = 23$



$3y^2 - 8x = 59$










share|cite|improve this question















closed as off-topic by John B, user10354138, Saad, KReiser, Chinnapparaj R Dec 1 at 5:24


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." – John B, user10354138, Saad, KReiser, Chinnapparaj R

If this question can be reworded to fit the rules in the help center, please edit the question.













  • Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
    – Doug M
    Dec 1 at 0:44














-2












-2








-2








I couldn't figure out how to solve this:




$2x^2 - 3y = 23$



$3y^2 - 8x = 59$










share|cite|improve this question
















I couldn't figure out how to solve this:




$2x^2 - 3y = 23$



$3y^2 - 8x = 59$







algebra-precalculus






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share|cite|improve this question













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edited Dec 1 at 0:39

























asked Dec 1 at 0:33









Eray Xx

85




85




closed as off-topic by John B, user10354138, Saad, KReiser, Chinnapparaj R Dec 1 at 5:24


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." – John B, user10354138, Saad, KReiser, Chinnapparaj R

If this question can be reworded to fit the rules in the help center, please edit the question.




closed as off-topic by John B, user10354138, Saad, KReiser, Chinnapparaj R Dec 1 at 5:24


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." – John B, user10354138, Saad, KReiser, Chinnapparaj R

If this question can be reworded to fit the rules in the help center, please edit the question.












  • Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
    – Doug M
    Dec 1 at 0:44


















  • Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
    – Doug M
    Dec 1 at 0:44
















Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
– Doug M
Dec 1 at 0:44




Substitution? $y = frac {2x^2 - 23}{3}$ You will get a quartic equation. If someone was nice, they gave you rational roots. If not, it might be a challenge to factor.
– Doug M
Dec 1 at 0:44










1 Answer
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From the first, $3y = (2x^2-23)$. Substituting in the second, we get
$$(2x^2-23)^2 - 24 x = 177$$
Simplifying,
begin{align*}
4x^4 - 92 x^2 + 529 - 24x - 177 &= 0\
x^4 - 23x^2 - 6x + 88 = 0
end{align*}

It is easy to see that 2 and $-4$ are two of the roots. We can now factorize, find the other two roots and substitute in the other equation to find the corresponding values of $y$.






share|cite|improve this answer




























    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    0














    From the first, $3y = (2x^2-23)$. Substituting in the second, we get
    $$(2x^2-23)^2 - 24 x = 177$$
    Simplifying,
    begin{align*}
    4x^4 - 92 x^2 + 529 - 24x - 177 &= 0\
    x^4 - 23x^2 - 6x + 88 = 0
    end{align*}

    It is easy to see that 2 and $-4$ are two of the roots. We can now factorize, find the other two roots and substitute in the other equation to find the corresponding values of $y$.






    share|cite|improve this answer


























      0














      From the first, $3y = (2x^2-23)$. Substituting in the second, we get
      $$(2x^2-23)^2 - 24 x = 177$$
      Simplifying,
      begin{align*}
      4x^4 - 92 x^2 + 529 - 24x - 177 &= 0\
      x^4 - 23x^2 - 6x + 88 = 0
      end{align*}

      It is easy to see that 2 and $-4$ are two of the roots. We can now factorize, find the other two roots and substitute in the other equation to find the corresponding values of $y$.






      share|cite|improve this answer
























        0












        0








        0






        From the first, $3y = (2x^2-23)$. Substituting in the second, we get
        $$(2x^2-23)^2 - 24 x = 177$$
        Simplifying,
        begin{align*}
        4x^4 - 92 x^2 + 529 - 24x - 177 &= 0\
        x^4 - 23x^2 - 6x + 88 = 0
        end{align*}

        It is easy to see that 2 and $-4$ are two of the roots. We can now factorize, find the other two roots and substitute in the other equation to find the corresponding values of $y$.






        share|cite|improve this answer












        From the first, $3y = (2x^2-23)$. Substituting in the second, we get
        $$(2x^2-23)^2 - 24 x = 177$$
        Simplifying,
        begin{align*}
        4x^4 - 92 x^2 + 529 - 24x - 177 &= 0\
        x^4 - 23x^2 - 6x + 88 = 0
        end{align*}

        It is easy to see that 2 and $-4$ are two of the roots. We can now factorize, find the other two roots and substitute in the other equation to find the corresponding values of $y$.







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Dec 1 at 0:45









        Muralidharan

        43516




        43516















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