Question

x-1/2x=3 find the value of x²+1/4x²​

Answer 1

Answer:

${x}^{2} + \frac{1}{4 {x}^{2} } = 10.$

Step-by-step explanation:

$x - \frac{1}{2x} = 3 \\ \\ squaring \: both \: sides \\ \\ {(x - \frac{1}{2x} )}^{2} = 9 \\ \\ {x}^{2} + \frac{1}{4 {x}^{2} } - 1 = 9 \\ \\ {x}^{2} + \frac{1}{4 {x}^{2} } = 10.$