Question 116231
Let the numbers be x and x+6
x^2+(x+6)^2=146
x^2+x^2+12x+36=146
2x^2+12x+36-146=0
2x^2+12x-110=0
2(x^2+6x-55)=0
2(x+11)(x-5)=0
.
x=5, x=11
or
x=-11, x=-5
.
Ed