Michigan State University - Diagnostic Exam

2.2

  •   If   2
x  - 4x =  - 1  , then x = (?).

     

    a)     √ --
2 +   3  b)     √ --
2 ±   3  c) √ --
  5  or 1 d) 2  e)  √ --
±  3



Solution:
       2
⇒    x  - 4x + 4 =  - 1 + 4
⇒    (x - 2)2 = 3
             √ --
⇒    x =  2 ±  3

Diagnostic:

If you miss this question please review completing the square.

See 2.1: Equations (Quadratic) .


July 15, 2008