If are real,, then the roots by the equation:are
real and unequal
Explanation for the correct answer:
is the given equation.
Comparing given equation with standard form of quadratic equation
we get , ,
The nature of the roots of a quadratic equation depends on the value of , where is given as
Substituting the values of for the given equation we get
For all real values of as
When for a quadratic equation , the equation has real and unequal roots.
Hence, the given quadratic equation has real and unequal roots,
Hence, option(D) is the correct answer.