[tex]\sqrt[]{4x-2}-1=2[/tex]
Adding 1 at both sides of the equation:
[tex]\begin{gathered} \sqrt[]{4x-2}-1+1=2+1 \\ \sqrt[]{4x-2}=3 \end{gathered}[/tex]
Raising each term of the equation at the power of 2:
[tex]\begin{gathered} \sqrt[]{4x-2}^2=3^2 \\ 4x-2=9 \end{gathered}[/tex]
Adding 2 at both sides of the equation:
[tex]\begin{gathered} 4x-2+2=9+2 \\ 4x=11 \end{gathered}[/tex]
Dividing by 4 at both sides of the equation:
[tex]\begin{gathered} \frac{4x}{4}=\frac{11}{4} \\ x=\frac{11}{4} \end{gathered}[/tex]
