Write the discriminant of the following quadratic equations:
$x^2 - 2x + k = 0, k ∈ R$

Given:

Given quadratic equation is $x^2 - 2x + k = 0, k ∈ R$.

To do:

We have to find the discriminant of the given quadratic equation.

Solution:

Comparing the given quadratic equation with the standard form of the quadratic equation $ax^2+bx+c=0$, we get,

$a=1, b=-2$ and $c=k$.

The discriminant of the standard form of the quadratic equation $ax^2+bx+c=0$ is $D=b^2-4ac$.

Therefore,

$D=(-2)^2-4(1)(k)=4-4k=4(1-k)$.

The discriminant of the given quadratic equation is $4(1-k)$.

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Updated on: 10-Oct-2022

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