12 3 4 5 6 7 8 9 10 time remaining 51: 43 which are the solutions of the quadratic equation? x2 = 9x + 6

Please use " ^ " to indicate exponentiation:

x^2 = 9x + 6

Rewrite that in standard form:  x^2 - 9x - 6 = 0

Solve by completing the square:

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

         (x-9/2)^2       -(-9/2)^2 - 6 = 0, or   (x-9/2)^2 -81/4 - 24/4 = 0

         (x-9/2)^2 -105/4 = 0, or                  (x-9/2)^2 = 105/4

          x-9/2 = plus or minus sqrt(105/4),    or x = 9/2 plus or minus sqrt(105)/2

     (answers)

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