Acircle is centered at the point (5, -4) and passes through the point (-3, 2).
the equation of this circle is (x + + (y + =

Step-by-step explanation:

We know that the general equation of a circle can be written as :

  (1), where (center )= (h,k) and r= radius

As per given , we have

(h,k) = (5,-4)

(x,y) =(-3,2)

Substitute these value in equation (1), we get

Since radius cannot be negative , thus r= 10 units

Put value of  and (h,k) in equation (1), we get

Thus , the equation of given circle is .

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!