Question

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

Answer 1

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

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

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

$( \sqrt{ \frac{4x-1}{ 4} }) ^{ ^{2} = ( \frac{1}{2} )^{ ^{2} }$

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

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

4x-1 = 1

4x = 2

x = 2/4

x = 1/2