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Answer:
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
