Question
Determine whether the given quadratic equations have equal roots and if so, find the roots:
$3x^2 - 6x + 5 = 0$

Answer

The given equation is
$3x^2 - 6x + 5 = 0$
Here, $a = 3, b = -6$ and $c = 5$
Discriminant
$= b^2 - 4ac$
$= (-6)^2 - 4 x 3 x 5$
$= 36 - 60$
$= -24 < 0$
imaginary roots.

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