SOLUTION: Find all real solutions of the quadratic equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) x2 − 12x + 4 = 0

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find all real solutions of the quadratic equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.) x2 − 12x + 4 = 0      Log On


   

Question 908884: Find all real solutions of the quadratic equation. (Enter your answers as a comma-separated list. If there is no real solution, enter NO REAL SOLUTION.)
x2 − 12x + 4 = 0
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2-12x%2B4=0, not factorable.

Study how to complete the square: http://www.algebra.com/my/Completing-the-Square-to-Solve-General-Quadratic-Equation.lesson?content_action=show_dev

Add %28-12%2F2%29%5E2=36 to both sides and identify and factor the appropriate trinomial; and then solve for x.

OR, if you already know the general solution for a quadratic equation, use that.

(Note that discriminant will be 128, which is %28-12%29%5E2-4%2A4).
(Note that 128=2%5E7 ).