Find two consecutive positive even numbers the sum of whose squares is 340

Consecutive even means
x and x+2 since they are 2 apart

sum of squares is 340
x^2+(x+2)^2=340
expand and add
x^2+x^2+4x+4=340
2x^2+4x+4=340
divide both sides by 2 to make it easier
x^2+2x+2=170
minus 170 bot sides
x^2+2x-168=0
facotr
(x-12)(x+14)=0
set each to zero
x-12=0
add 12
x=12

x+14=0
minus 14
x=-14
but they has to e positive to disregard

x=12
x+2=14

numbers are 12 and 14

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