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Question

Solve the equation 2x2+x+2=0

Solution
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The given quadratic equation is 2x2+x+2=0
On comparing the given equation with ax2+bx+c=0,
we obtain a=2,b=1, and c=2
Therefore, the discriminant of the given equation is
D=b24ac=124×2×2=18=7
Therefore, the required solutions are
b±D2a=(1)±72×2=1±7i22

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