Question

Can someone help me

Answer 1

`x=\sqrt{38√(12) +373} , -\sqrt{38√(12) +373}`

Explanation:

`(x-19)^2=12\\`

Square root both sides

`x-19=√(12)`

Add 19 to both sides

`x=√(12) +19`

Square both sides

`x^2=(√(12) +19)(√(12) +19)\\x^2=(12+19√(12) +19√(12)+361)`

`x^2=(38√(12) +373)`

The square root property says that there are 2 solutions and it will be the negative and positive of the square root of what x^2 equals which is 373 in this case

`x=\sqrt{38√(12)+373 } ,-\sqrt{38√(12)+373 }`

Hope this helps