# Sum of Squares

**Geometry**Level pending

How many \(P\) points that belong to the y-axis exist such that the distance from \(P\) to \( A\left( -1,-3 \right) \) squared plus, the distance from \(P\) to \( B\left( -4,-2 \right) \) squared is equal to 5?

\( { \left( { d }_{ PA } \right) }^{ 2 }+{ \left( { d }_{ PB } \right) }^{ 2 }\quad =\quad 5 \)