SOLUTION: How would I solve the following equation by completing the square: x^2 = 6x-34

Algebra ->  Rational-functions -> SOLUTION: How would I solve the following equation by completing the square: x^2 = 6x-34      Log On


   

Question 363140: How would I solve the following equation by completing the square:
x^2 = 6x-34
Found 2 solutions by Fombitz, ewatrrr:
Answer by Fombitz(32388) About Me  (Show Source):
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi, 

x^2 = 6x-34

x^2 -6x +34 = 0

solve by completing the square

x^2 -6x + 9 - 9 + 34 = 0

(x^2 -6x + 9) - 9 + 34 = 0

 (x - 3)^2 + 25 = 0

 (x - 3)^2 = -25 

x -3 = +-sqrt(-25)

x = 3 +- 5i