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

 

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