Question

plz plz pzl solve this with steps​

Answer 1

Step-by-step explanation:

(x+1/2x)^2=x^2+1/4x^2+2×x×1/2x

(x+1/2x)^2=8 (x^2+1/4x^2=8)

x+1/2x=root 8

Answer 2

Answer:

$x + \frac{1}{2x} = 2 \sqrt{2}$

Step-by-step explanation:

$let \: x + \frac{1}{2x} = y \\ \\ squaring \: both \: side \\ \\ {(x + \frac{1}{2x } )}^{2} = {y}^{2} \\ \\ {x }^{2} + \frac{2x}{2x} + \frac{1}{4 {x}^{2} } = {y}^{2} \\ \\ {x}^{2} + \frac{1}{4 {x}^{2} } = {y}^{2} \\ \\ {x}^{2} + \frac{1}{4 {x}^{2} } = 8 \\ \\ {y }^{2} = 8 \\ \\ y = 2 \sqrt{2} \\ \\ x + \frac{1}{2x} = 2 \sqrt{2}$

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