SHOW YOUR WORK WILL MARK BRAINLIEST IF YOU GET IT RIGHT solve by completing the square X²+6x-22=0​

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  x = -3±√31 ≈ {-8.568, +2.568}

Step-by-step explanation:

The usual steps are to ...

  group the x-terms

     (x² +6x) -22 = 0

  add and subtract the square of half the x-coefficient

     (x² +6x +(6/2)²) -22 -(6/2)² = 0

  simplify to a binomial square

     (x +3)² -31 = 0

Solve for x.

  (x +3)² = 31

  x +3 = ±√31

  x = -3 ±√31 . . . . . solution to the quadratic

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step-by-step explanation: