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

Answer 1

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.