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Question

Solve the equation 3x22x+33=0

Solution
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The given quadratic equation is 3x22x+33=0
On comparing the given equation with ax2+bx+c=0,
we obtain a=3,b=2, and c=33
Therefore, the discriminant of the given equation is
D=b24ac=(2)24(3)(33)=236=34
Therefore, the required solutions are
b±D2a=2±342×3=2±34i23

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