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Discriminant

The discrimin...

Question

The discriminant of the quadratic equation $3 x^{2} - 4 x - 2 = 0$ is

A

40

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B

20

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C

24

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D

48

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Solution

The correct option is A
40

Given: $3 x^{2} - 4 x - 2 = 0$

Comparing the given quadratic equation with the standard form, we get a = 3, b = -4, c = -2
$∴ D = b^{2} - 4 a c = (- 4)^{2} - 4 (3) (- 2) = 16 + 24 = 40$
$\Rightarrow D = 40$

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