Respuesta :

Answer:

Answer is  x=328 .

Step-by-step explanation:

solution= (4x-16)^1/2=36

squaring both sides we get

 4x-16=129

 4x=1296+16

 x=(1296+16)/4

  x=328 .

Answer:

x = 328

Step-by-step explanation:

The given equation is

[tex](4x-16)^{\frac{1}{2}}=36[/tex]

We need to find the solution of the given equation.

Taking square on both sides.

[tex]((4x-16)^{\frac{1}{2}})^2=(36)^2[/tex]

[tex](4x-16)^{\frac{2}{2}}=1296[/tex]

[tex]4x-16=1296[/tex]

Add 16 on both sides.

[tex]4x-16+16=1296+16[/tex]

[tex]4x=1312[/tex]

Divide both sides by 4.

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

[tex]x=328[/tex]

Therefore, the value of x is 328.