Respuesta :

answer:x=328
solution= (4x-16)^1/2=36
                squaring both sides we get
                 4x-16=1296
                     4x=1296+16
                       x=(1296+16)/4
                       x=328 .

Answer: x=328

Explanation

in the given equation [tex]\sqrt{4x-16} =36[/tex] we will first remove the square root from the equation in order to do the same

From  squaring both sides we get

4x-16 = [tex]36^{2}[/tex]

4x -16 = 1296

After shifting 16 on Right hand side we will get the following

4x= 1296 + 16

after  adding right hand side we will get the following

4x = 1312

4 will shift to the right hand side we will get the following result

x = [tex]\frac{1312}{4}[/tex]

finally after division by 4 we will get the final value

x =328