Question 1204206
TWO CONSECUTIVE POSITIVE EVEN INTEGERS ARE SUCH THE SUM OF THEIR SQUARES IS 164. FIND THE TWO NUMBERS.

let one even number be x
the other even number will be (x+2)

x^2+(x+2)^2=164

x^2+x^2+4x+4=164

2x^2+4x-160=0

2(x^2+2x-80)=0

x^2+2x-80=0

x^2+10x-8x-80=0

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

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

x=-10 OR x=8

8 & 10  are the positive even integers