Question

What is the solution of (4x-16) ^ 1/2=36

Answer 1

Answer:

x = 328

Step-by-step explanation:

(4x-16) ^ 1/2=36

Raise both sides by the power of 2

((4x - 16)^1/2)^2 = 36^2

4x - 16 = 1296

4x = 1296 + 16

4x = 1312

 x = 328

Answer 2

Hello!

The answer is:

The solution of the problem is 328

Why?

First, we need to remember the following roots property:

$\sqrt[n]{a^{m} }=a^{ \frac{m}{n}}$

Then, the expression:

$(4x-16)^{\frac{1}{2} }$

Can be written as:

$(4x-16)^{\frac{1}{2}}=\sqrt[2]{4x-16}$

Now, rewriting the equation, we have:

$\sqrt[2]{4x-16}=36$

Squaring both sides, and groping like terms, we have:

$(\sqrt[2]{4x-16})^{2} =36^{2}\\\\4x-16=1296\\4x=1296+16\\4x=1312\\x=\frac{1312}{4}=328$

Hence,

$x=328$

The solution of the problem is 328

Have a nice day!