Question

1. Two consecutive positive even numbers are such that the sum of their squares

is 164. Find the two numbers quadratic equation

Answer 1

ANSWER:-

Let x and (x+2) be the consecutive even integers. We get

x 2+(x+2) 2 =100

expanding, we get x2 +x 2+4x+4=100

setting = 0, we get 2x 2+4x−96=0

Dividing by 2 , we get, x 2+2x−48=0

factoring, we get,

(x+8)(x−6)=0

solving for x, we get

x+8=0 = x=−8

and x−6=0=x=6.

so, we have

(−8,−6) OR (6,8)

Answer 2

8² + 10² = 164

Explanation:

so just add them and you"ll get 164 as the answer ^^