Where did Diophantine go now, huh!
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Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
Please don't post problems (by starting a topic) in the "X: Solved" forums. Those forums are only for showcasing the problems for the convenience of the users. You can always post the problems in the main Divisional Math Olympiad forum. Later we shall move that topic with proper formatting, and post in the resource section.
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Re: Where did Diophantine go now, huh!
I believe you want to solve \[x^2+y^3=1 \text{ and } x+y^2=1\]
We have $x=1-y^2$. So, $(1-y^2)^2+y^3=1 \iff y^4-2y^2+y^3=0 \iff y^2(y^2+y-2)=0$
Do the rest yourself.
We have $x=1-y^2$. So, $(1-y^2)^2+y^3=1 \iff y^4-2y^2+y^3=0 \iff y^2(y^2+y-2)=0$
Do the rest yourself.
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Please install LaTeX fonts in your PC for better looking equations,
learn how to write equations, and don't forget to read Forum Guide and Rules.