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For the quadratic $2 x^{2} + k x + 8 = 0$ to have two equal real roots, find the positive value of $k$ .

Class 10Discriminant and Nature of RootsAlgebra — Quadratics

A8
B9
C16
D7

Step-by-Step Solution

Equal roots need

D = 0 : k^{2} - 4 (2) (8) = 0

, so

k^{2} = 64, k = + / - 8

. The positive value is

k = 8

.

Answer: A) 8

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