One number is the square of another. Their sum is 182.

Question

Please find the numbers!!!!

Answer 1

x is the number

x^2+x=182

x^2+x-182=0

182=2*7*13=(2*7)*13=14*13 and 14-13=1, the coefficient of the middle term

factor

(x+14)(x-13)=0

x+14=0

x=-14 and (-14)^2=196 and 196+(-14)=182

 

x-13=0

x=13 and (13)^2=169 and 169+13=182

there are two answers, 13 and -14