Question 79411
x^2+(x+7)^2=289
x^2+x^2+14x+49=289
x^2+14x+49-289=0
x^2+14x-240=0
(x+24)(x-10)=0
x+24=0
x=-24 answer
x-10=0
x=10 answer.
proof
10^2+17^2=289
100+189=289
289=289