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Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x^2 + kx + 3 = 0 - Mathematics

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Find the values of k for each of the following quadratic equations, so that they have two equal roots. 2x2 + kx + 3 = 0

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Solution

2x2 + kx + 3 = 0

Comparing equation with ax2 + bx + c = 0, we get

a = 2, b = k and c = 3

Discriminant = b2 - 4ac = (k)2 - 4(2) (3)

= k2 - 24

For equal roots,

Discriminant = 0

k2 - 24 = 0

k2 = 24

k = `±sqrt24 = ±2sqrt6`

Concept: Nature of Roots
  Is there an error in this question or solution?

APPEARS IN

NCERT Class 10 Maths
Chapter 4 Quadratic Equations
Exercise 4.4 | Q 2.1 | Page 91
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