Question

Solve for x. 2x^2/x^4=8

Answer 1

the x^2 cancels

`(2x^2)/(x^4) =8`

`(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

Answer 2

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