Question

the sum of the squares of two consecutive positive integer is 365 .find the number.​

Answer 1

Answer:

13. &. 14 are the positive 2consecutive integers whose sum is 365...

Answer 2

let the two consecutive positive integers be x,x+1

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

x^2+x^2+2x+1=365

2x^2+2x=364

2x^2+2x-364 =0

2x^2+28x-26x-364=0

2x(x+14)-26(x+14)=0

(x+14) -(2x-26)=0

x=-14 , x=13