Løs left(r-1right)^2+left(s-2right)^2=100

$${ \left(r-1 \right) }^{ 2 } + { \left(s-2 \right) }^{ 2 } = 100$$

Løs for r (complex solution)

$$r=-i\sqrt{s-12}\sqrt{s+8}+1$$

$$r=i\sqrt{s-12}\sqrt{s+8}+1$$

Løs for s (complex solution)

$$s=-i\sqrt{r-11}\sqrt{r+9}+2$$

$$s=i\sqrt{r-11}\sqrt{r+9}+2$$

Løs for r

$$r=-\sqrt{\left(12-s\right)\left(s+8\right)}+1$$

$$r=\sqrt{\left(12-s\right)\left(s+8\right)}+1\text{, }s\geq -8\text{ and }s\leq 12$$

Løs for s

$$s=-\sqrt{\left(11-r\right)\left(r+9\right)}+2$$

$$s=\sqrt{\left(11-r\right)\left(r+9\right)}+2\text{, }r\geq -9\text{ and }r\leq 11$$