Question

1. The sum of the squares of two consecutive
naturel number is 113. Find the number​

Answer 1

Answer:

The numbers are 7,8

Step-by-step explanation:

7^2=49

8^2=64

64+49= 113

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Answer 2

Let the numbers be n and n+1

then,

n²+(n+1)²=113²

n² +2n−112=0

n²+n−56=0

n²+8n−7n−56=0

(n+8)(n−7)=0

n=7,−8

Neglect the negative value.

Numbers are 7 and 8.