the sum of the square of a positive number and the square of 3 more than the number is 17 what is the number

Answer:   1Step-by-step 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 . . . . . factorThe solutions make these factors zero: -4 and +1. The positive solution is 1.The number is 1.