Solution for Problem 1.6.4

Solve for x:     

Solve

Step

  Subtract 2 from both sides.
Square both sides to undo the square root.

x2 – 4x + 4 = 4 + x

Remember to use FOIL

x2 – 5x = 0

Set equal to 0.
Subtract
xSubtract 4
x(x – 5) = 0 It Factors!!
x = 0 or x = 5 Check both answers.
x = 0  works!! Done!

Check 

  If x  = 0, then

  If x  = 5, then