Two whole numbers have the following relationship: One number is 2 more than 2 times the other number. The difference of their squares is 55

Question

Two whole numbers have the following relationship:

One number is 2 more than 2 times the other number.

The difference of their squares is 55

Answer 1

about 2.5 and 7

7 = 2+2(2.5)

7^2 + 2.5^2 = 49+6.25 = 55 1/4

closer to 2.49 and 6.98

,

also 2nd solution -2.09 and 2-4.18 = -2.18, but that may be an extraneous solution. It is the other x intercept when you graph 5x^2 +8x -51. but it clearly doesn't satisfy x^2 +y^2 = 55

yet there may be a real negative solution. use the quadratic formula