Change the equation of the circle x^2+14x+y^2-10y=14x 2 + 14 x + y 2 - 10 y = 14 into center-radius form of a circle.

The answer to your question is (x + 7) ² + (y - 5) ² = 88

Step-by-step explanation:

Equation

x² + 14x + y² - 10y = 14

Complete perfect trinomial squares

x² + 14x + (7) ² + y² - 10y + (5) ² = 14 + (7) ² + (5) ²

Simplify

x² + 14x + (7) ² + y² - 10y + (5) ² = 14 + 49 + 25

x² + 14x + (7) ² + y² - 10y + (5) ² = 88

Factor

(x + 7) ² + (y - 5) ² = 88 This is the equation in the form

center-radius