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Write the Discriminant of the Following Quadratic Equations: X2 - 2x + K = 0, K ∈ R - Mathematics

Write the discriminant of the following quadratic equations:

x2 - 2x + k = 0, k ∈ R

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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.

Concept: Relationship Between Discriminant and Nature of Roots
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APPEARS IN

RD Sharma Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.5 | Q 1.4 | Page 32
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