Lutasin ang {l}{(x-a/2)^{2}+y^{2}=frac{a^{2}}{4}}{x^2/a^2+y^2/b^2=1}

$$\left\{ \begin{array} { l } { ( x - \frac { a } { 2 } ) ^ { 2 } + y ^ { 2 } = \frac { a ^ { 2 } } { 4 } } \\ { \frac { x ^ { 2 } } { a ^ { 2 } } + \frac { y ^ { 2 } } { b ^ { 2 } } = 1 } \end{array} \right.$$

I-solve ang x, y (complex solution)

$$\left\{\begin{matrix}x=a\text{, }y=0\text{, }&a\neq 0\text{ and }b\neq 0\\x=\frac{ab^{2}}{a^{2}-b^{2}}\text{, }y=\frac{iab\sqrt{2b^{2}-a^{2}}}{a^{2}-b^{2}}\text{; }x=\frac{ab^{2}}{a^{2}-b^{2}}\text{, }y=-\frac{iab\sqrt{2b^{2}-a^{2}}}{a^{2}-b^{2}}\text{, }&a\neq -b\text{ and }a\neq b\text{ and }a\neq 0\text{ and }b\neq 0\end{matrix}\right.$$

I-solve ang x, y

$$\left\{\begin{matrix}x=-\frac{ab^{2}}{b^{2}-a^{2}}\text{, }y=-\frac{|a||b|\sqrt{a^{2}-2b^{2}}}{|a-b||a+b|}\text{; }x=-\frac{ab^{2}}{b^{2}-a^{2}}\text{, }y=\frac{|a||b|\sqrt{a^{2}-2b^{2}}}{|a-b||a+b|}\text{, }&\left(a\geq \sqrt{2}|b|\text{ and }a\neq 0\text{ and }b\neq 0\text{ and }a\neq |b|\right)\text{ or }\left(a\leq -\sqrt{2}|b|\text{ and }a\neq 0\text{ and }b\neq 0\text{ and }a\neq -|b|\right)\\x=a\text{, }y=0\text{, }&a\neq 0\text{ and }b\neq 0\text{ and }|a|\neq |b|\\x=\frac{b^{2}}{a}\text{, }y=-\frac{|b|\sqrt{a^{2}-b^{2}}}{|a|}\text{; }x=\frac{b^{2}}{a}\text{, }y=\frac{|b|\sqrt{a^{2}-b^{2}}}{|a|}\text{, }&|a|=|b|\text{ and }b\neq 0\end{matrix}\right.$$