Question

: (x - 4)2 = 144Looking for x

Answer 1

x = -8 OR 16

Explanation:

Given the equation:

`(x-4)^2=144`

We want to find the value of x.

First of all, notice that the left-hand side is the square of the right-hand side, the square can be neutralized by taking the square roots of both sides. Doing this, we have:

`\sqrt[]{(x-4)^2}\text{ = }\sqrt[\square]{144}`

So, performing the operation above, we have:

`x-4\text{ = }\pm12`

We are going to have two possible solutions, which are:

`x\text{ = 12 +4 = 16}`

OR

`x\text{ = -12+4 = -8}`

Therefore the two possible solutions are:

x = -8 or x = 16