Question

Find the two consecutive even numbers, sum of whose squares is 164.

Answer 1

The two consecutive even numbers are 8 and 10.so, 8^2 +10^2 =164

Answer 2

$\textbf{\underline{\underline{According\:to\:the\:Question}}}$

Assume one number p

Next even number p + 2

★Situation

p^2 + (p + 2)^2 = 164

2p^2 + 4p + 4 - 164 = 0

2p^2 + 4p - 160 = 0

p^2 + 2p - 80 = 0

(p + 10)(p - 8) = 0

p = 8

p = -10 it is rejected because of negative sign

★Two numbers are :-

= 8 and 10