Answer:[tex]x=\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]2\sqrt{x}=1-\sqrt{4x-1}[/tex]
[tex]\sqrt{4x-1}=1-2\sqrt{x}[/tex]
Squaring both sides
[tex]4x-1=1+4x-4\sqrt{x}[/tex]
[tex]4\sqrt{x}=2[/tex]
[tex]\sqrt{x}=\frac{1}{2}[/tex]
squaring both sides
[tex]x=\frac{1}{4}[/tex]
