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Question

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


A
64k
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B
164k
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C
163k
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D
132k
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Solution

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

Mathematics

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