Question

If x+1/2x=3 then find the value of x^2+1/4x^2​

Answer 1

*****

x +  \frac{1}{2x}  = 3 \\  \\ squaring \: on \: both \: side \\  \\ {(x +  \frac{1}{2x} )}^{2}  =  {(3)}^{2}  \\  \\   {x}^{2}  +  { (\frac{1}{2x}) }^{2}  + 2 \times x  \times  \frac{1}{2x}  \\  \\  {x}^{2}  +  \frac{1}{4 {x}^{2} }  = 8 \\  \\  

hope it helps