#### (i) Find two consecutive natural numbers such that the sum of their squares is 61.

(ii) Find two consecutive integers such that the sum of their squares is 61.

**Solution:**

**More Fractions And Solutions:**

- Solve the following equation by factorization (x – 4)² + 5² = 13².
- Solve the following equation by factorization x² – 4x – 12 = 0.
- Solve the following equation by factorization 5x² – 8x – 4 = 0.
- Solve the following equation by factorization a²x² + 2ax + 1 = 0.
- Solve the following equation by factorization √3x² + 10x + 7√3 = 0
- Solve the following equation by factorization x² – (1 + √2)x + √2 = 0