Answer
$x=9$
Work Step by Step
$2x-5\sqrt x=3$
$2x-5\sqrt x+5\sqrt x-3=3+5\sqrt x-3$
$2x-3=5\sqrt x$
$(2x-3)^2=(5\sqrt x)^2$
$2x*2x+2x*(-3)+2x*(-3)+(-3)(-3)=5^2*(\sqrt x)^2$
$4x^2-12x+9=25x$
$4x^2-37x+9=0$
$(4x-1)(x-9)=0$
$4x-1=0$
$4x=1$
$4x/4=1/4$
$x=1/4$
$x-9=0$
$x=9$
$2x-5\sqrt x=3$
$2*1/4-5\sqrt 1/4=3$
$2/4 - 5*1/2=3$
$1/2-5/2=3$
$-4/2=3$
$-2=3$ (false)
$2x-5\sqrt x=3$
$2*9-5\sqrt 9=3$
$18-5*3=3$
$18-15=3$
$3=3$ (true)
