ĐKXĐ: 2x-1>0
=>2x>1
=>x>1/2
\(\frac{x^4+3x^2-4}{\sqrt{2x-1}}=0\)
=>\(x^4+3x^2-4=0\)
=>\(\left(x^2+4\right)\left(x^2-1\right)=0\)
mà \(x^2+4\ge4>0\forall x\)
nên \(x^2-1=0\)
=>\(x^2=1\)
=>\(\left[\begin{array}{l}x=1\left(nhận\right)\\ x=-1\left(loại\right)\end{array}\right.\)