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Verified Answer :

2x²/x⁴=8
2(x²/x⁴)=8
2(1/x²)=8
2=8x²
x²=2/8
x²=1/4
x=⁺₋√(1/4)
x=⁺₋1/2

Answer: we have two solutions: -1/2 and 1/2

the x^2 cancels
\(\frac{2x^2}{x^4} =8\)
\(\frac{2}{x^2} =8\)
times both sides by x^2
2=8x^2
divide both sidesby 8
1/4=x^2
sqrt both sides
+/-1/2=x


x=-1/2 and 1/2