What are the possible values of x if (4x – 5)2 = 49? Check all that apply. StartFraction negative 4 Over 5 EndFraction StartFraction negative 1 Over 2 EndFraction 3 5 7

Answer:Option 2 and 3 - 3 and [tex]-\frac{1}{2}[/tex]Step-by-step explanation:Given : Equation [tex](4x-5)^2=49[/tex]To find : What are the possible values of x ?Solution : Equation [tex](4x-5)^2=49[/tex]Taking root both side,[tex]\sqrt{(4x-5)^2}=\sqrt{49}[/tex][tex](4x-5)=\pm 7[/tex]Taking [tex]4x-5=7[/tex][tex]4x=7+5[/tex][tex]4x=12[/tex][tex]x=\frac{12}{4}[/tex][tex]x=3[/tex]Taking [tex]4x-5=-7[/tex][tex]4x=-7+5[/tex][tex]4x=-2[/tex][tex]x=-\frac{2}{4}[/tex][tex]x=-\frac{1}{2}[/tex]The possible values of x are 3 and [tex]-\frac{1}{2}[/tex]Therefore, option 2 and 3 are correct.