Question

Find k if quadratic equation x^2 + kx + k = 0 has positive roots.

Answer 1

it should be equal roots

so discriminamt =0

k.k- 4k = 0

k(k-4) = 0

k = 0,4

Answer 2

Solution:

For positive root,

Discriminate Must be > 0

Thus, D = b² - 4ac

Here, b = k , a = 1 & c = k

=> D = k² - 4×1×k > 0

=> k(k-4) > 0

=> k > 4 or k > 0

Thus, value of k is Natural number.
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Amrit⭐