Answer
$x=45$
Work Step by Step
$\sqrt[4] {2x-9}-3=0$
$\sqrt[4] {2x-9}-3+3=0+3$
$\sqrt[4] {2x-9}=3$
$(\sqrt[4] {2x-9})^4=3^4$
$2x-9=81$
$2x-9+9=81+9$
$2x=90$
$2x/2=90/2$
$x=45$
$\sqrt[4] {2x-9}-3=0$
$\sqrt[4] {2*45-9}-3=0$
$\sqrt[4] {90-9}-3=0$
$\sqrt[4] {81}-3=0$
$3-3=0$
$0=0$ (true)