Question

The sum of the squares of two consecutive positive integers is 181. Find the integers

Answer 1

Answer:

two consecutive positive integer is 9 and 10

Step-by-step explanation:

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

A.T.Q

x² + (x+1)² = 181

x² + x² + 1 + 2x = 181

2x² + 2x + 1 - 181 = 0

2x² + 2x -180 = 0

2x² + 20x - 18x - 180 = 0

2x(x+10).-18(x+10) = 0

(2x-18)(x+10) = 0

x = 9 or -10

but number is positive integer

so , x = 9

then two consecutive positive integers is 9 and 10