Question

The sum of the squares of two consecutive positive even numbers is 52.
What is the smaller number? @mathstudent55 @noemy_bieber

Answer 1

x^2+(x+2)^2=52
x^2+x62+4x+4=52
2x62+4x+4-52=0
2x^2+4x-48=0
2(x^2+2x-24)=0
2(x+6)(x-4)=0
x+6=0
x=-6 ans.
x-4=0

Answer 2

x=4 ans.
Proof:
-6^2+(-6+2)^2=52
36-4^2=52
36+16=52
52=52
4^2+(4+2)^2=52
16+6^2=52
16+36=52
52=52

Answer 3

is it 4 or -6

Answer 4

hmm ur equation doesnt necessaliry say those are even numbers but ill let it pass..

Answer 5

im not sure