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Solve each of the following equations: (1) x^2+3=0

Solve each of the following equations: 

Q: 1        x^2+3=0

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Given equation is
x^2+3=0 
Now, we know that the roots of the quadratic equation is given by the formula
\frac{-b\pm \sqrt{b^2-4ac}}{2a}
In this case value of a = 1 , b = 0 and c = 3
Therefore,
\frac{-0\pm \sqrt{0^2-4.1.(3)}}{2.1}= \frac{\pm\sqrt{-12}}{2} = \frac{\pm2\sqrt3i}{2}=\pm\sqrt3i
Therefore, the solutions of requires equation are   \pm\sqrt3i
 

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