Chapter 10 - Section 10.6 - Radical Equations and Problem Solving - Exercise Set - Page 728: 29

$x=15/4$

$\sqrt[4] {4x+1} -2=0$ $\sqrt[4] {4x+1} -2+2=0+2$ $\sqrt[4] {4x+1} =2$ $(\sqrt[4] {4x+1})^4 =2^4$ $4x+1=16$ $4x+1-1=16-1$ $4x=15$ $4x/4=15/4$ $x=15/4$ $\sqrt[4] {4x+1} -2=0$ $\sqrt[4] {4*15/4+1} -2=0$ $\sqrt[4] {15+1} -2=0$ $\sqrt[4] {16} -2=0$ $2-2=0$ $0=0$ (true)