Find any points of intersections of the graphs of the equations algebraically and then verify using a graphing utility. x^2 − y^2 −14x +10y − 25 =0 x^2 + y^2−14x−10y + 25= 0

Question

Specifically, please be sure to display the smaller and larger x-value between the two equations.

Answer 1

x² - y² - 14x + 10y - 25 = x² + y² - 14x - 10y + 25

-2y² + 20y - 50 = 0

y² - 10y + 25 = 0

(y - 5)² = 0

y - 5 = 0

y = 5

Now substitute to determine x.