Question

Que 18 The sum of square of two consecutive positive integer is 365, find the numbers.​

Answer 1

Step-by-step explanation:

Let the consecutive numbers be x,x+1

Sum of their squares x

2

+(x+1)

2

=365

x

2

+x

2

+2x+1=365

2x

2

+2x−364=0

x

2

+x−182=0

x

2

+14x−13x−182=0

x(x+14)−13(x+14)=0

(x+14)(x−13)=0

x=−14,13

x=13

two consecutive positive integers=13,14