Question

The sum of the square of a positive number and the square of 3 or more than the numbers is 17. What is the number

Answer 1

1

Explanation:

Let x represent the number. The given relation is ...

x² +(x+3)² = 17

2x² +6x +9 = 17 . . . . simplify

x² +3x -4 = 0 . . . . . . subtract 17 and divide by 2

(x +4)(x -1) = 0 . . . . . factor

The solutions make these factors zero: -4 and +1. The positive solution is 1.

The number is 1.