Multivariable equation for a hessian matrix

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I have those two equations and i should find the values to make them equal to 0



3x^2+1-4y=0
-4x-4y=0



I find the values x=-1 and y=1 but the book says there should be also another solution but i cannot find it after doing multiple tries.










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  • surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
    – Siong Thye Goh
    Sep 8 at 10:40














up vote
0
down vote

favorite












I have those two equations and i should find the values to make them equal to 0



3x^2+1-4y=0
-4x-4y=0



I find the values x=-1 and y=1 but the book says there should be also another solution but i cannot find it after doing multiple tries.










share|cite|improve this question





















  • surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
    – Siong Thye Goh
    Sep 8 at 10:40












up vote
0
down vote

favorite









up vote
0
down vote

favorite











I have those two equations and i should find the values to make them equal to 0



3x^2+1-4y=0
-4x-4y=0



I find the values x=-1 and y=1 but the book says there should be also another solution but i cannot find it after doing multiple tries.










share|cite|improve this question













I have those two equations and i should find the values to make them equal to 0



3x^2+1-4y=0
-4x-4y=0



I find the values x=-1 and y=1 but the book says there should be also another solution but i cannot find it after doing multiple tries.







multivariable-calculus systems-of-equations






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asked Sep 8 at 10:33









dio v

1




1











  • surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
    – Siong Thye Goh
    Sep 8 at 10:40
















  • surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
    – Siong Thye Goh
    Sep 8 at 10:40















surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
– Siong Thye Goh
Sep 8 at 10:40




surround ur maths equations with dollar signs. learn mathjax. and also, please include what you tried in your future posts.
– Siong Thye Goh
Sep 8 at 10:40










1 Answer
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up vote
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down vote













$$3x^2+1-4y=0$$
$$-4x-4y=0$$



$$y=-x$$



$$3x^2+1+4x=0$$



$$(3x+1)(x+1)=0$$



Hopefully you can see the other solution.






share|cite|improve this answer




















  • The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
    – dio v
    Sep 8 at 10:42










  • Nevermind i found it , it's extremely easy i should just be more careful next time.
    – dio v
    Sep 8 at 10:50










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1 Answer
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active

oldest

votes








1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes








up vote
0
down vote













$$3x^2+1-4y=0$$
$$-4x-4y=0$$



$$y=-x$$



$$3x^2+1+4x=0$$



$$(3x+1)(x+1)=0$$



Hopefully you can see the other solution.






share|cite|improve this answer




















  • The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
    – dio v
    Sep 8 at 10:42










  • Nevermind i found it , it's extremely easy i should just be more careful next time.
    – dio v
    Sep 8 at 10:50














up vote
0
down vote













$$3x^2+1-4y=0$$
$$-4x-4y=0$$



$$y=-x$$



$$3x^2+1+4x=0$$



$$(3x+1)(x+1)=0$$



Hopefully you can see the other solution.






share|cite|improve this answer




















  • The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
    – dio v
    Sep 8 at 10:42










  • Nevermind i found it , it's extremely easy i should just be more careful next time.
    – dio v
    Sep 8 at 10:50












up vote
0
down vote










up vote
0
down vote









$$3x^2+1-4y=0$$
$$-4x-4y=0$$



$$y=-x$$



$$3x^2+1+4x=0$$



$$(3x+1)(x+1)=0$$



Hopefully you can see the other solution.






share|cite|improve this answer












$$3x^2+1-4y=0$$
$$-4x-4y=0$$



$$y=-x$$



$$3x^2+1+4x=0$$



$$(3x+1)(x+1)=0$$



Hopefully you can see the other solution.







share|cite|improve this answer












share|cite|improve this answer



share|cite|improve this answer










answered Sep 8 at 10:36









Siong Thye Goh

82.8k1456104




82.8k1456104











  • The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
    – dio v
    Sep 8 at 10:42










  • Nevermind i found it , it's extremely easy i should just be more careful next time.
    – dio v
    Sep 8 at 10:50
















  • The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
    – dio v
    Sep 8 at 10:42










  • Nevermind i found it , it's extremely easy i should just be more careful next time.
    – dio v
    Sep 8 at 10:50















The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
– dio v
Sep 8 at 10:42




The solution is -1/3 and +1/3 but i reached that simply by looking and doing a trial and error in my mind, i cannot find it formally with the equation.
– dio v
Sep 8 at 10:42












Nevermind i found it , it's extremely easy i should just be more careful next time.
– dio v
Sep 8 at 10:50




Nevermind i found it , it's extremely easy i should just be more careful next time.
– dio v
Sep 8 at 10:50

















 

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