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3 years ago

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

Mathematics

1 answer:

Crank3 years ago

3 0

Answer:

Step-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 . . . . . factor

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

The number is 1.

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