solve using middle term splitting with proper steps
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x^2 + 3√3x + 6=0
x^2 + √3x + 2√3x + 6=0
x(x + √3) + 2√3 (x + √3) = 0
(x + 2√3) (x + √3) 0
x = -2√3 or x =-√3
Note:
Splitting the middle term:
√3+2√3 = 3√3 ie the middle term
√3*2√3=2*3=6 ie the product of the first and last term.