Question 116231: two numbers differ by 6. if the numbers are squared and then added, the result is 146. what are the two numbers? Answer by edjones(8007) (Show Source):
You can put this solution on YOUR website! 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
