Question 230031
let the number be x
its reciprocal would be 1/x


x+[49(1/x)]= -14
x+49/x = -14
x^2+49/x = -14
x^2+49 = -14x
x^2+14x+49=0
(x+7)(x+7)=0

x=-7


so the number is -7.