Question

Solve 2√x=1-√(4x-1).

Answer 1

Answer:$x=\frac{1}{4}$

Step-by-step explanation:

Given

$2\sqrt{x}=1-\sqrt{4x-1}$

$\sqrt{4x-1}=1-2\sqrt{x}$

Squaring both sides

$4x-1=1+4x-4\sqrt{x}$

$4\sqrt{x}=2$

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

squaring both sides

$x=\frac{1}{4}$