Question 1178016
let one number be x
other number will be x+5

x^2+(x+5)^2= 120

x^2+x^2+10x +25=120

2x^2 +10x -95=0

x= -9.8 or 4.8


x , x+6

x^2-(x+6)^2 =120

x^2-x^2-12x -36 =120

-12x 156
x=-13

-13, -18