Question

find two consecutive positive integers, sum of whose square is 365.​

Answer 1

Answer:

consecutive numbers are 13 and 14                        (。_。)

Step-by-step explanation:

let the two consecutive positive integers are x and y

y - 1 = x  =>  y = x + 1

x^2 + y^2 = 365

x^2 + (x+1)^2 = 365

2x^2 + 2x + 1 = 365

x^2 + x - 182 = 0  

x^2 + 14x - 13x -182 = 0

x(x + 14) -13 (x+14) = 0

x = +13 (not accepted) OR x = -14

Thus the two consecutive numbers are 13 and 14.  

       

I hope u find it useful.      ╮(╯▽╰)╭

Answer 2

Answer:

$13 \: and \: 14$

Step-by-step explanation:

It is the correct answer.

Hope this attachment helps you.