Question

Identify the center and radius of a circle with equation (x-5)^2+(x+3)^2=25

Answer 1

$\bf (x-5)^2+(x+3)^2=25\implies (x-5)^2+[x-(-3)]^2=5^2\\\\ -----------------------------\\\\ \textit{equation of a circle}\\\\ (x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2 \qquad center\ ({{ h}},{{ k}})\qquad radius={{ r}}$