Write an equation representing the fact that the sum of the squares of two consecutive integers is 113. then solve to find the two integers.

Question

asked Oct 22, 2020 148k views

2 Answers

Youcha · Answer 1 · 2020-10-24T17:05:29+0000

Answer: The consecutive integers are 7 and 8.

Step-by-step explanation: a= the first integer, (a+1)= the second integer

Therefore,

a^2 + (a+1)^2= 113

= a^2 + a^2+2a+1 = 113

= 2a^2+ 2a -112 = 0

Using the quadratic equation you get 7 and 8

As a checkpoint:

7^2 + 8^2 = 113

= 49 + 64 = 113

= 113 = 113