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Question
Write the discriminant of the following quadratic equations:
x2 - 2x + k = 0, k ∈ R
Solution
We have been given, x2 - 2x + k = 0
Now we also know that for an equation ax2 + bx + c = 0, the discriminant is given by the following equation:
D = b2 - 4ac
Now, according to the equation given to us, we have,a = 1, b = -2 and c = k.
Therefore, the discriminant is given as,
D = (-2)2 - 4(1)(k)
= 4 - 4k
Therefore, the discriminant of the equation is 4 - 4k.
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