Question

determine 2consective even positive integers the sum of whose squares is 100

Answer 1

the integers are 6 and 8

Answer 2

Answer:

6, 8

Step-by-step explanation:

Consecutive even numbers are x, x + 2

According to the question

x² + (x + 2)² = 100

x² + x² + 4 + 4 x = 100

2 x² + 4 x + 4 = 100

On solving you will get value of x = 6

so the other consecutive even number will be x + 2 = 6 + 2 = 8