# 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

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

#### 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
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#### APPEARS IN

NCERT Class 10 Maths