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Question
Choose the correct answer for the following question.
\[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\] which of the following statement is true for this given equation?
Options
Real and uneual roots
Real and equal roots
Roots are not real
Three roots
Solution
For the given quadratic equation \[\sqrt{5} m^2 - \sqrt{5}m + \sqrt{5} = 0\]
\[\text{D} = b^2 - 4ac = \left( - \sqrt{5} \right)^2 - 4 \times \sqrt{5} \times \sqrt{5} = 5 - 20 = - 15\]
Since D < 0 so, the roots are not real.
Hence, the correct answer is Roots are not real.
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