Question 1004156
let the two numbers be x & x+1

their sum = 2x+!

(2x+1) ^2 = 361

4x^2 +4x +1 =361

4x^2+4x -360 =0

/4

x^2+x-90=0

x^2 +10x-9x-90 = 0

x(x+10)-9(x+10)=0

(x+10)(x-9) =0

x = -10 or x = 9

the numbers are

-10,-9

OR
9 &10