Answer:
8 and 9
Explanation:
Hello!
Let the first of the two consecutive numbers be x. The second number would be x + 1.
The equation would be: (x + 1)² - x² = 17, as we subtract the squares to get 17.
Solve for x
- (x + 1)² - x² = 17
- x² + 2x + 1 - x² = 17
- 2x + 1 = 17
- 2x = 16
- x = 8
The first number is 8, so the second number would be 9.
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We can confirm this by subtracting the square of 8 by the square of 9, and see if it equals 17.
- 9² - 8² = 17
- 81 - 64 = 17
- 17 = 17
Our answer is correct.