Question 958933

{{{ sqrt(2x)- sqrt(x+1) =3/sqrt(x+1) }}}.
<pre>{{{sqrt(2x) * sqrt(x + 1) - (sqrt(x + 1) * sqrt(x + 1)) = 3}}} -------- Multiplying by LCD, {{{sqrt(x + 1)}}}
{{{sqrt(2x(x + 1)) - (x + 1) = 3}}}
{{{sqrt(2x^2 + 2x) - x - 1 = 3}}}
{{{sqrt(2x^2 + 2x) = 3 + x + 1}}}
{{{sqrt(2x^2 + 2x) = x + 4}}}
{{{(sqrt(2x^2 + 2x))^2 = (x + 4)^2}}} ------- Squaring both sides
{{{2x^2 + 2x = x^2 + 8x + 16}}}
{{{2x^2 - x^2 + 2x - 8x - 16 = 0}}}
{{{x^2 - 6x - 16 = 0}}}
(x - 8)(x + 2) = 0
{{{highlight_green(x = 8)}}}		OR	 	x = - 2(ignore)