Question

find two consecutive odd natural numbers sum of whose squares is 970​

Answer 1

Answer:21

Step-by-step explanation:-

1. let the first odd number be x. therefore second one would be x+2.

2. sum of squares of both numbers=970.

3. x^2 +(x+2)^2=970

4.x^2 +x^2 +4x +4=970

5. 2x^2 + 4x - 966=0

6. divide the whole equation by 2.

7. x^2 + 2x -483=0

8. x^2 +23x-21x -483=0

9. x(x+23)-21 (x+ 23)=0

10. ×=21, -23

11. as x is odd number, ans is 21.