Solve by completing the square?

9x2−12x+5=0

This does include the usage of imagery numbers.

1 Answer
Jim G.
Jun 18, 2018

x=23±13i

Explanation:

the coefficient of the x2 term must be 1

divide through by 9

x2−43x+59=0

x2−43x=−59

add (12coefficient of x-term)2 to both sides

x2+2(−23)x+49=−59+49

(x−23)2=−19

take the square root of both sides

√(x−23)2=±√−19

x−23=±13i

add 23 to both sides

x=23±13i

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