Question

Solve the equation Square root of x minus 5+ 7 = 11 for the variable. Show each step of your solution process. (10 points)

Answer 1

$\sqrt{x - 5} + 7 = 11$

$(\sqrt{x-5}) ^{2} = (4)^{2}$

|x - 5| = 16

x - 5 = +/- 16

x - 5 = 16     or     x - 5 = -16

  +5   +5               +5    +5  

    x = 21       or        x = -11

Answer: x = {21, -11}