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Discriminant

Find the disc...

Question

Find the discriminant for the given quadratic equation:
$4 x^{2} - k x + 2 = 0$

k^{2} - 21

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k^{2} - 24

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k^{2} - 28

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k^{2} - 32

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Solution

The correct option is D $k^{2} - 32$
Given equation is,
$4 x^{2} - k x + 2 = 0$
We know, $D = b^{2} - 4 a c$
$a = 4, b = - k, c = 2$
$D = (- k)^{2} - 4 (4) (2)$
$∴ D = k^{2} - 32$

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