Answer:
- 3√5 ≈ 6.7082
- 3√5 -2 ≈ 4.7082
Explanation:
Let x represent the larger number. Then x-2 is the smaller one. The sum is ...
4x + (x-2)^2 = 49
x^2 + 4 = 49 . . . . . simplify
x^2 = 45 . . . . . . . . subtract 4
x = √45 = 3√5 . . . . take the square root
The larger number is 3√5, and the smaller number is 2 less, 3√5 -2.