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Applications of Second Degree Equations

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Question

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

6 - 4 k

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16 - 4 k

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16 - 3 k

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13 - 2 k

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Solution

The correct option is A $16 - 4 k$
Given equation is,
$x^{2} + 4 x + k = 0$
We know,
$D = b^{2} - 4 a c$
$a = 1, b = 4, c = k$
$D = (4)^{2} - 4 (1) (k)$
$∴ D = 16 - 4 k$

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