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Find the discriminant of the quadratic equation $4x^2 – 5 = 0$ and hence comment on the nature of roots of the equation.
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Sol. $4x^2-5 = 0$
$a = 4, b = 0, c=-5$
Discriminant = $b^2 - 4ac = 0-4 (4) (-5) = 80 > 0$
$\Rightarrow$ roots are real and distinct.
$a = 4, b = 0, c=-5$
Discriminant = $b^2 - 4ac = 0-4 (4) (-5) = 80 > 0$
$\Rightarrow$ roots are real and distinct.