Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable. Show each step of your solution process.

Question

Solve the equation  for the variable. Show each step of your solution process.

Answer 1

Greetings Yadiel,

First, we will isolate the radical/square root:

  

-2 -2

√x-6 = 4

Next we will square both sides of the equation and solve:

(√x-6)² = (4)²

x - 6 = 16

+6 +6

x = 22

Answer: x = 22