A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a

A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a

A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a

Answer：√((-6 + 2)2 + (0 + 3)2) = √((a + 3)2 + (0 + 2)2) : distances from center to any point on the circle are equal.
(25) = (a + 3)2 + 4 : Simplify and square both sides
(a + 3)2 = 21 : Rewrite the above equation as
Solve for a
a = -3 + √(21)   ,   a = -3 - √(21) : solve for a and find two solutions.