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EXPLANATION.
Discriminant of the equation.
⇒ F(x) = -3x² + 2x - 8 = 0.
As we know that,
Discriminant = D.
⇒ D = 0 Or b² - 4ac = 0.
⇒ D = (2)² - 4(-3)(-8).
⇒ D = 4 - 96.
⇒ D = -92.
Option [A] is correct answer.
MORE INFORMATION.
Nature of factor of quadratic expression.
(1) = Real and different, if b² - 4ac > 0.
(2) = Rational and different, if b² - 4ac is a perfect square.
(3) = Real and equal, if b² - 4ac = 0.
(4) = If D < 0, Roots are imaginary and unequal Or complex conjugate.
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