Answer:
[tex]3(4x-1)^{2} - 1 = 11[/tex]
add the 1 to 11
[tex]3(4x-1)^{2} = 11 + 1[/tex]
[tex]3(4x-1)^{2} = 12[/tex]
divide both side by 3
[tex]\frac{3(4x - 1)^{2} }{3} = \frac{12}{3}[/tex]
Cancel and simplify
[tex](4x - 1)^{2} = 4[/tex]
Square root both side to cancel the square
[tex]\sqrt{(4x - 1)^{2}} = \sqrt{4}[/tex]
[tex]4x - 1 = 2[/tex]
add the 1 to 2
[tex]4x = 2 + 1[/tex]
[tex]4x = 3[/tex]
divide both side by 4
[tex]\frac{4x}{4} = \frac{3}{4}[/tex]
cancel and simplify
x = [tex]\frac{3}{4}[/tex]
Step-by-step explanation: