Verified Answer :

apologiabiology

\(\frac{x+2}{2} = \frac{4}{x}\)
times both sides by 2x
x(x+2)=2(4)
x²+2x=8
minus 8 both sides
x²+2x-8=0
factor
what 2 numbers multiply to -8 and add to 2
-2 and 4
(x-2)(x+4)=0

set to zero
x-2=0
x=2

x+4=0
x=-4

x=-4 and 2

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