Find the smaller x-value and larger x-value 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

Answer 1

First add the two functions to get 2x²-28x=0 which is true for x=0 and x=14. Next substitute 0 into the first equation to get -y²+10y-25=0 which is true only for y =5 (use quadratic formula). It works if you substitute x=0 into the second equation and if you sustitute x=14 into either.