Question

the sum of two integers is 9 and the sum of their square is 65. find the integers

Answer 1

Answer:

Ans = (8, 1) , (1, 8)

Explanation:

Let one integer be "x" and other "9-x"

x2 + (9-x)2 = 65

x2 + 81 + x2 - 18x = 65

x2 + x2 - 18x = 65 - 81

2x2 - 18x = -16

2x2 - 18x + 16 = 0

2 (x2 - 9x + 8) = 0

x2 - 9x + 8 = 0

x2 - 8x - x + 8 = 0

x (x - 8) -1 (x - 8) = 0

(x-8) (x-1)

x = (8, 1)

y = 9 - x

y = (9 - 8), (9 - 1)

y = (1, 8)